diff --git "a/CdE0T4oBgHgl3EQfgQEc/content/tmp_files/load_file.txt" "b/CdE0T4oBgHgl3EQfgQEc/content/tmp_files/load_file.txt" new file mode 100644--- /dev/null +++ "b/CdE0T4oBgHgl3EQfgQEc/content/tmp_files/load_file.txt" @@ -0,0 +1,1077 @@ +filepath=/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf,len=1076 +page_content='Prepared for submission to JCAP Stochastic gravitational wave background from the collisions of dark matter halos Qiming Yana,b Xin Rena,b Yaqi Zhaoa,b Emmanuel N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakisc,a,d aDeep Space Exploration Laboratory/School of Physical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China bCAS Key Laboratory for Researches in Galaxies and Cosmology/Department of Astronomy, School of Astronomy and Space Science, University of Science and Technology of China, Hefei, Anhui 230026, China cNational Observatory of Athens, Lofos Nymfon, 11852 Athens, Greece dDepartamento de Matem´aticas, Universidad Cat´olica del Norte, Avda.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Angamos 0610, Casilla 1280 Antofagasta, Chile E-mail: asadoubi233@mail.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='ustc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='edu.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='cn, rx76@mail.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='ustc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='edu.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='cn, zxmyg86400@mail.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='ustc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='edu.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='cn, msaridak@noa.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='gr Abstract.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We investigate for the first time the effect of the dark matter (DM) halos colli- sions, namely collisions of galaxies and galaxy clusters, through gravitational bremsstrahlung, on the stochastic gravitational wave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We first calculate the gravitational wave signal of a single collision event, assuming point masses and linear perturbation theory.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Then we proceed to the calculation of the energy spectrum of the collective effect of all dark matter collisions in the Universe.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Concerning the DM halo collision rate we show that it is given by the product of the number density of DM halos, which is calculated by the extended Press-Schechter (EPS) theory, with the collision rate of a single DM halo, which is given by simulation results, with a function of the linear growth rate of matter density through cos- mological evolution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, integrating over all mass and distance ranges, we finally extract the spectrum of the stochastic gravitational wave background created by DM halos collisions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we show, the resulting contribution to the stochastic gravitational wave background is of the order of hc ≈ 10−30 in the pulsar timing array (PTA) band of f ≈ 10−9Hz, much smaller than other GW sources, such as super-massive black-hole mergers.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' However, in very low frequency band, it is larger.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' With current observational sensitivity it cannot be detected, nevertheless it may be accessible by PTA in the future, where techniques of distinguishing signal overlap should be used in order to isolate it and use it for cosmological studies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' arXiv:2301.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='02414v1 [astro-ph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='CO] 6 Jan 2023 Contents 1 Introduction 1 2 Gravitational waves emitted during a single collision 2 3 Effect on the stochastic gravitational wave background 6 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1 Energy spectrum of a single GW event 7 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2 Number density of GW sources 8 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3 The energy spectrum of the stochastic gravitational wave background 10 4 Conclusions 11 1 Introduction Recently, the gravitational wave (GW) detecting technology has been developing rapidly.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In 2015, the detection of binary black holes merger GW150914 by the LIGO experimental cooperation signaled the first detection of gravitational waves [1], while in 2017, the joint detection of GW170817 [2] and GRB170817A [3] opened the new era of multi-messenger astronomy [4].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In general, with the increasing amount of detected gravitational wave events [5] one has improved statistics that allows to track the history of the universe [6, 7] and impose bounds on various cosmological parameters [8, 9], as well as constrain various theories of gravity [10–14].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Moreover, for different frequencies and types of gravitational wave sources, various detection means have been designed and implemented.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Besides ground-based laser interferometers such as LIGO, Virgo and KAGRA, which probe high frequency bands (10 − 104 Hz), space-based laser interferometers such as LISA [15, 16] for intermediate frequency gravitational waves (10−4 − 1 Hz), and the pulsar timing array (PTA) [17–20] for lower frequency bands (10−9 − 10−6 Hz), are also raised.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' These observational avenues allow us to acquire rich information from GWs of different types and sources, among which stochastic gravitational wave background is attracting increasing interest.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Stochastic gravitational wave background (GWB) is a type of random background signal that exists in an analogous way to the cosmic microwave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The contribution of GWB can be roughly divided into cosmological sources and astrophysical sources [21].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astrophysical originated GWB contains all types of unresolved GW emitting events, including binary black hole mergers [22–28].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' These signals can provide information about astrophysical source populations and processes over the history of the universe [29–32].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' On the other hand, cosmological originated GWB mainly involves primordial gravitational perturbations during the inflation epoch [33–35], or perturbations arising from primordial black holes fluctuations [36–39].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' GW signals typically remain unaffected during their propagation, and thus they can provide valuable information about the very early stages of the universe.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' For instance, different inflationary models can lead to different predictions for the GWB spectrum [40–52], and thus GWB can be used as a probe of this primordial universe epoch.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Since GWB can provide us with important astrophysical and cosmological probes, it is crucial to understand its composition and properties [53–63].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' On the other hand, according to observations, dark matter (DM) constitutes a significant fraction of the energy density of the universe [64–66].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Its microphysical nature and possible – 1 – interactions remain unknown [67–70], nevertheless we do know unambiguously that DM interacts gravitationally [71, 72].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Current theory predicts that the main part of DM is concentrated in dark halos, which coincide in position with galaxy or galaxy clusters [73].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' These galaxies and galaxy clusters, and thus dark halos too, are typically accelerating and merging through their mutual attraction [74–76].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Such processes can in principle release GW signal through gravitational bremsstrahlung [77–87].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In this work, we are interested in investigating for the first time the possible GW signals that could be emitted through bremsstrahlung during dark halo merger and collisions, and their contribution to the stochastic GWB.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In particular, we will first consider a single event of two DM halos collision, and we will calculate the emitted GW signal.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Then, we will calculate the energy spectrum contribution to the stochastic GWB, taking the DM halo collision rate into consideration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The structure of the article is as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In Section 2 we analyze the GW emitted during the collision of two galaxies or two galaxy clusters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In Section 3 we integrate over redshift and DM halos parameters to extract the contribution to stochastic GWB.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Finally, in Section 4 we conclude and discuss our results.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 2 Gravitational waves emitted during a single collision In this section, we aim at estimating the gravitational waves emitted during a single collision event.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In particular, we calculate the GW radiated by the collision of two DM halos, which corresponds to the collision of two galaxies or two galaxy clusters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' According to observations, such a collision typically has a huge duration, which in turn implies that the energy radiated through GWs per unit time is not very large, and thus we can safely use linear perturbation theory in the involved calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Specifically, we use [88] gµν = ηµν + hµν, |hµν| ≪ 1, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1) ¯hij(t, x) = 2G rc4 d2Iij (tr) dt2 , tr = t − r c, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2) where G is the gravitational constant, c is the speed of light, and r is the distance from us to the center of mass of the two galaxies or galaxy clusters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Moreover, Iij is the quadruple moment Iij(t) = � yiyjT 00(t, y)d3y = � yiyjρ(t, y)d3y, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3) where T µν is energy-momentum tensor, ρ is energy density, and yi is the spatial coordinate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Since the goal of our calculation is to acquire an estimation of the order of the magnitude of the resulting signal, we can consider these two DM halos as mass points, with mass Ma and position y(a)(t) at time t.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, the density ρ can be written as ρ(t, y) = � a Maδ3(y − y(a)(t)), (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4) while the quadruple moment Iij(t) becomes Iij(t) = � yiyjρ(t, y)d3y = � a Mayi (a)(t)yj (a)(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5) – 2 – Finally, since the relative speed of two galaxies or galaxy clusters is much smaller than the speed of light, we can use Newtonian mechanics to handle their dynamics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' For simplicity we write the equations in the center-of-mass frame of these two mass points.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' By definition, we have MArA + MBrB = 0, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='6) where MA, MB are the masses of the mass points A and B, with rA, rB their position vectors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' From Newtonian mechanics we have ¨rA = − GMB |rA − rB|2 rA |rA|, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='7) which using (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='6) gives ¨rA = −µB rA |rA|3 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='8) where we have defined µB ≡ GMB (1+ MA MB )2 .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, we assume that the two points are ini- tially at infinite distance, their relative speed is v∞ = vA∞ +vB∞, and the impact parameter is b = bA + bB.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' From Newtonian mechanics we know that the trajectory of each point is a hyperbola and the two points are moving in a plane (we set this plane as z = 0 plane, and thus rA = (xA, yA, 0)), while the total energy of the system is positive.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, the mass center of these two DM halos will not follow a hyperbolic trajectory at all times, in order to acquire a collision.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 1 we depict an illustrative representation of the initial conditions of the collision.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Figure 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' An illustrative representation of the initial conditions of the collision.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The two galaxies or galaxy clusters are considered as points with masses MA and MB, where bA and bB are the impact parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Let us start with the beginning of the collision, when the two DM halos start moving towards each other.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' For point A we have (xA + aAeA)2 − (yA)2 = a2 A, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='9) – 3 – Y MB UB8 bB O center of mass X L= 8 b A VA8 MAwhere aA = µB (vA∞)2 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='10) eA = � 1 + vA4∞b2 A (µB)2 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='11) a = aA + aB.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='12) We proceed by defining λA through eA sinh(λA) − λA = vA∞t aA , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='13) hence r1 A = xA = aA [eA − cosh(λA)] , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14) r2 A = yA = aA �� e2 A − 1 sinh(λA) � .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15) Note that t = 0 corresponds to the time when the two mass points have the shortest distance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In order to obtain the GW amplitude hij, we proceed to the calculation of the quadrupole moment Iij(t) and its second time derivative.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We have Iij = MAri Arj A + MBri Brj B, (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='16) d2Iij dt2 = MA(¨ri Arj A + ri A¨rj A + 2 ˙ri A ˙rj A) + MB(¨ri Brj B + ri B¨rj B + 2 ˙ri B ˙rj B).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='17) From (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14), (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15) we find ˙xA = − aA sinh(λA) � a3 A µB [eA cosh(λA) − 1] , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='18) ¨xA = µB(cosh(λA) − e) a2 A[eA cosh(λA) − 1]3 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='19) ˙yA = aA � e2 A − 1 cosh(λA) � a3 A µB [eA cosh(λA) − 1] , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='20) ¨yA = − � e2 A − 1µB sinh(λA) a2 A[eA cosh(λA) − 1]3 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='21) and thus inserting into (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='17) we extract all the second time derivatives of the quadrupole – 4 – moment Iij(t), namely d2I11 dt2 = µBMA{7eA cosh(λA) + eA[cosh(3λA) − 4eA] − 4 cosh(2λA)} 2aA[eA cosh(λA) − 1]3 +µAMB{7eB cosh(λB) + eB[cosh(3λB) − 4eB] − 4 cosh(2λB)} 2aB[eB cosh(λB) − 1]3 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='22) d2I12 dt2 = − � e2 A − 1µBMA sinh(λA){eA[cosh(2λA) + 3] − 4 cosh(λA)} aA[eA cosh(λA) − 1]3 − � e2 B − 1µBMA sinh(λB){eB[cosh(2λB) + 3] − 4 cosh(λB)} aB[eB cosh(λB) − 1]3 , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='23) d2I22 dt2 = � e2 A − 1 � µBMA[3eA cosh(λA) + eA cosh(3λA) − 4 cosh(2λA)] 2aA[eA cosh(λA) − 1]3 + � e2 B − 1 � µAMB[3eB cosh(λB) + eB cosh(3λB) − 4 cosh(2λB)] 2aB[eB cosh(λB) − 1]3 .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='24) Figure 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The dimensionless components of the gravitational wave signal arising from a single event of the collision of two DM halos, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', the collision of two galaxies or clusters of galaxies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The left panel shows the ¯h11 component, the middle panel the ¯h12 component and the right panel the ¯h22 component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The time t = 0 corresponds to the shortest distance between the two DM halos, that is the moment in which ¯h11 and ¯h22 reach their peaks and ¯h12 exhibits the largest variation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We have imposed the typical values MA = MB = 109M⊙, vA∞ = vB∞ = 300km/s, bA = bB = 104ly, and we have assumed that the distance from Earth is ∼ 109ly.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Time t is measured in seconds.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We can now use (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2) in order to obtain the GW signal in the time domain.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As typical values we set MA = MB = 109M⊙, namely the order of mass of a (dwarf) galaxy, where M⊙ is the mass of the Sun, and we use vA∞ = vB∞ = 300km/s, bA = bB = 104ly, which are the typical values for galaxy collisions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Moreover, we assume that the collision happens at a distance of 109ly from the Earth, which is roughly the distance of the source of GW150914.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, we can estimate the magnitude of the GW signal.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 2 we present the obtained dimensionless GW signal ¯hij, as a function of time t.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Since t = 0 corresponds to the time of shortest distance, the change rate of ¯hij is fastest at this time, as expected.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we observe, the variation of ¯hij is of the order of 5 × 10−22 during the collision.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' However, this variation – 5 – 七 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1017 -5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1016 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0 ×1016 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1017 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22h12 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='×10 七 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1017 -5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1016 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0 × 1016 6 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1017 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22h22 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2538 × 10-18 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2534 × 10-18 t 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1017 -5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1016 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0×1016 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0 ×1017corresponds to a large time scale (about 1015s), which implies that a single signal of this kind of GW is extremely hard to be detected.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, we can see that the evolution of ¯h12 is faster than that of ¯h11, ¯h22, which implies that ¯h12 will be dominant in relatively higher frequency than that of ¯h11, ¯h22.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We proceed by taking the Fourier transformation of ¯hij, in order to investigate its spectrum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In particular, we use ˜¯hij(ω) = � t=+∞ t=−∞ dt eiωt ¯hij(t) , (2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='25) where ω = 2πf, with f the frequency.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 3 we present the dependence of ˜¯hij(f) on f.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we observe, all ˜¯hij(f) obey the power law in a very good approximation for a very wide frequency range.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Besides, as ˜¯h11, ˜¯h22 ∝ 1/f2, while ˜¯h12 ∝ 1/f, we can infer that ˜¯h11, ˜¯h22 will be dominant in the low frequency band while ˜¯h12 will be dominant in relatively high frequencies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Figure 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The spectrum of the gravitational waves as a function of the frequency.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The upper left panel shows the ˜¯h11(f) component, the upper right panel the ˜¯h12(f) component and the right panel the ˜¯h22(f) component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The blue dots represent the exact results at the time of shortest distance, while the red solid curves are power-law fits, specifically ˜¯h11(f) ≈ 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='7 × 10−53(Hz/f)2, ˜¯h12(f) ≈ 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2 × 10−38(Hz/f)2, ˜¯h22(f) ≈ 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0 × 10−53(Hz/f)2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 3 Effect on the stochastic gravitational wave background In this section, we calculate the contribution of the DM halos collisions to the stochastic gravitational wave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Specifically, we integrate the gravitational wave spectrum of – 6 – 10-23 10~24 10~25 10~26 10~27 10-28 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='×10-15 10-14 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4 10-13 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='× 10-13h11(f)f/H 21.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-22 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-23 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='×10-23 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='× 10-24 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-24 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-25 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-15 10-14 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4 10-13 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='×10-13h12(f)f/H 210~23 10~24 10~25 10-26 10~27 10-28 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='× 10-15 10-14 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' × 10-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4 10-13 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='× 10-13h22(f)f/H 2a single collision event over the number density of GW sources.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In principle, in order to compare a theoretical model with observations, one uses both the fractional energy density spectrum Ωgw(f), as well as the characteristic strain amplitude hc(f) [56].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' They are related to the energy spectrum of GWB through the expression π 4 f2h2 c(f) = ρcΩgw(f) = dρgw(f) d ln f , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1) where f is the frequency of GW detected on Earth, and ρc ≡ 3c2H2 0/8πG is the critical energy density.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The energy spectrum of the stochastic GWB, dρgw d ln f , can be written as dρgw(f) d ln f = �� ∞ 0 dz 1 1 + z � dξ dn dzdξ dE(ξ)gw d ln fr ���� fr=f(1+z) , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2) with z the redshift at the GW emission.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, dE(ξ)gw d ln(fr) is the energy spectrum of a single GW event, which is calculated through the analysis of the previous subsection, and fr is the GW frequency in the rest frame of GW sources, and thus fr = (1 + z)f.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We mention that we denote the parameters related to the number density of GW sources collectively by ξ = {ξ1, .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' , ξm}, and therefore dn dξ1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='..' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='dξmdzdξ1 .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' dξmdz ≡ dn dξdzdξdz is the number density of sources in the redshift interval [z, z + dz] and with source parameters in the interval [ξ, ξ + dξ].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, in the simple single event of two DM halos collision of the previous section we have ξ = {M, x, v∞, b}, where M = MA + MB, x = MA/MB, v∞ = vA∞ + vB∞ and b = bA + bB.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Let us now calculate the full distribution function dn dzdξ = dn dzdMdxdv∞db.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we have checked numerically, the variance of b, v∞ has a minor effect on the final result, not affecting the order of magnitude.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, it is a good approximation to omit the change of b, v∞, and consider that ξ = {M, x}.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, we have dρgw(f) d ln f = � ∞ 0 dz 1 1 + z � dξ dn dzdξ dE(ξ)gw d ln fr ���� fr=f(1+z) ≈ � 10 0 dz 1 1 + z � Mmax=1015M⊙ Mmin=109M⊙ dM � xmax=105 xmin=1 dx dn dzdMdx dE(ξ)gw d ln, fr ����� fr=f(1+z) , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3) where the varying range of M and x is taken from [89].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In the following subsections we will separately calculate the energy spectrum of a single GW event dE(ξ)gw d ln fr , and the number density of GW sources dn dzdMdx.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1 Energy spectrum of a single GW event The energy density of a single GW event can be calculated from the (traceless) second time derivative of the quadrupole moment, namely [90] dE(ξ)gw d ln fr ≈ fr 2G 5c5 (2πfr)2( ¨˜Qij(M, x;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' fr))( ¨˜Qij(M, x;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' fr)), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4) – 7 – where Qij is the traceless quadrupole moment and ¨˜Qij is the Fourier transformation of the second time derivative of Qij, which is related to Iij via Q11 = 2 3I11 − 1 3I22, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5) Q22 = −1 3I11 + 2 3I22, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='6) Q33 = −1 3I11 − 1 3I22, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='7) Q21 = Q12 = I12, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='8) while all other Qij are equal to zero.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Now, from Newtonian mechanics Iij can be written as ¨˜Iij(M, x;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' fr) = 4 � x (1 + x)3 + 1/x (1 + 1/x)3 � � M 2 × 1012M⊙ �2 ¨˜IG ij (fr), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='9) where x is the mass ratio of the two masses, and IG ij is defined as Iij(M = 2×1012M⊙, x = 1).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Therefore, from the calculation of Section 2, we can extract the values of ¨˜IG ij (fr) as ¨˜IG 11(fr) = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='86 × 1021 �Hz fr �2 kg m2s−1, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='10) ¨˜IG 22(fr) = 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='72 × 1020 �Hz fr �2 kg m2s−1, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='11) ¨˜IG 12(fr) = ¨˜IG 21(fr) = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='29 × 1037 �Hz fr � kg m2s−1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='12) Hence, inserting the above into (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4) gives us the energy density of a single GW event.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2 Number density of GW sources Let us now calculate the number density of GW sources (per redshift, total mass and mass ratio interval) dn dzdMdx.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' This number density is equal to the DM matter halos mergers rate, which can be calculated by combining the extended Press-Schechter (EPS) theory [91] and numerical simulations [89]: dn dzdMdx = nhalo(M, z)dω dz � 1 nhalo dnmerger dωdx � , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='13) where nhalo(M, z) is the number density of dark matter halos (per redshift per mass inter- val in the co-moving space), ω = ω(z) is a redshift-dependent function given below, and ( 1 nhalo dnmerger dωdx ) is the merger rate (at some ω) for a pair of DM halos with fixed total mass M and mass ratio x.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In the following we handle these terms separately.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We start with the definition of ω(z) [91] ω(z) = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='69 D(z), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14) where D(z) is the linear growth rate of matter density.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D(z) can be written as D(z) = 1 g(z = 0) � g(z) 1 + z � , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15) – 8 – where a good approximation of g(z) is g(z) ≈ 5 2Ωm(z) � Ω4/7 m (z) − ΩΛ(z) + [1 + Ωm(z)/2] [1 + ΩΛ(z)/70] �−1 , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='16) with ΩΛ(z), Ωm(z) the density parameters of dark energy and matter sectors given by ΩΛ(z) = ΩΛ,0 E2(z);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ωm(z) = Ωm,0(1 + z)3 E2(z) , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='17) where the normalized Hubble function E(z) ≡ H(z)/H0 reads as E(z) ≈ � ΩΛ,0 + Ωm,0(1 + z)3�1/2 , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='18) with the value of the Hubble function at present time given as [64] H0 ≈ 67.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3 km s−1Mpc−1, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='19) and with the values ΩΛ,0, Ωm,0 at present time taken as [64] ΩΛ,0 ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='685, (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='20) Ωm,0 ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='317.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='21) Note that in the above we consider that the underlying cosmology is ΛCDM concordance scenario, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', the dark energy sector is the cosmological constant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We continue by using the EPS theory in order to write the formula of the number density of DM halos nhalo.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' We consider that the halos merge when the redshift is between z and z +dz , and that the emitted GW signals are detected at Earth at present.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In co-moving space those halos are in the volume ∆V = 4πr2(z)d(r(z)).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Now, the EPS theory provides the number density of DM halos nEPS(M, z) at some redshift z and mass M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Therefore, we have nhalo = 4πr2(z)dr(z) dz nEPS(M, z), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='22) where the radius in the co-moving space r(z) is [91] r(z) = c H0 � z 0 dz ′ 1 E(z ′), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='23) while the formula of nEPS(M, z) is [91] nEPS(M, z) = � 2 π ¯ρ M2 δc σ exp � − δ2 c 2σ2 � ���� d ln σ d ln M ���� .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='24) In the above expression ¯ρ = ρcΩm,0 is the mean density of the matter component, δc = ω = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='69 D(z), while σ(M) is the variance of the matter density perturbation which can be estimated as [91] σ(M) ≈ σ8 � R r8 �−β , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='25) – 9 – with M = 4π 3 ¯ρR3 , σ8 ≈ 1, β ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='6 + 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='8(Ωm,0h), h = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='673 , and r8 = 8 Mpc h−1, leading to ���� d ln σ d ln M ���� = β 3 .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='26) Finally, the last term of (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='13), namely ( 1 nhalo dnmerger dωdx ) (dimensionless since both ω, x are dimensionless), can be found in [89] and it is given by � 1 nhalo dnmerger dωdx � = A � M 1012M⊙ �α xb exp [(˜x/x)γ] , (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='27) where the best-fit parameters from simulations are A = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='065, α = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15, b = −0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3, ˜x = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5, γ = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5 [89].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In summary, inserting (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14), (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='22) and (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='27) into (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='13), provides the value of the number density of GW sources dn dzdMdx.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3 The energy spectrum of the stochastic gravitational wave background We have now all the ingredients needed in order to calculate the energy spectrum of the stochastic gravitational wave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' This is given by (3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3), in which the energy spec- trum of a single GW event dE(ξ)gw d ln fr was calculated in subsection 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1, while the number density of GW sources dn dzdMdx was calculated in subsection 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Assembling everything, we finally obtain the stochastic gravitational wave background resulting from DM halos collisions in the universe, which is calculated numerically and it is shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, for com- parison we also depict the corresponding result of of the contribution of the super-massive black-hole mergers (SMBHM), which follows hc(f) ∝ f−2/3, as well as the current observa- tional sensitivity [92].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 10 16 10 14 10 12 10 10 10 8 10 6 10 4 10 2 Frequency f /Hz 10 34 10 30 10 26 10 22 10 18 10 14 10 10 Characteristic Strain hc DM halos collisions SMBHM current observation sensitivity Figure 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The characteristic strain hc(f) as a function of the frequency of the stochastic gravita- tional wave background created by DM halos, namely galaxies and galaxy clusters, collisions (blue-solid curve).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' For comparison, with the green-dashed curve we depict the corresponding result of of the con- tribution of the super-massive black-hole mergers (SMBHM), which follows hc(f) ∝ f −2/3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Finally, with the red-dotted curve we present the current observational sensitivity [92].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 10 – As we can see, the contribution of GW radiated from the collisions of DM halos, namely galaxies and galaxy clusters, is quite small comparing to other sources.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In the pulsar timing array (PTA) band, where f ≈ 10−9Hz, and where the current observational limit is hc ≈ 10−15 [93], we obtain an effect of the order of hc ≈ 10−30.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Nevertheless, in very low frequency band hc will be larger.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In general, with current observational sensitivity the effect of the DM halos collisions on the stochastic gravitational wave background cannot be detected, however it will be accessible in the future, in which case one could use the advanced techniques of distinguishing signal overlap in order to isolate it from other sources [94–97].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Note that one could try to extend the analysis, by considering, instead of point masses, a group of mass points with Navarro, Frenk & White (NFW) density profile [91] to simulate DM halo collisions, nevertheless the results are expected to be at the same order of magnitude.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 4 Conclusions In this work we investigated for the first time the effect of the dark matter halos collisions, namely collisions of galaxies and galaxy clusters, through gravitational bremsstrahlung, on the stochastic gravitational wave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In order to achieve this goal, we first calculated the gravitational wave signal of a single DM halo collision event.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As an estimation of the order of magnitude, we handled the two DM halos as mass points.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Furthermore, since the strength of such GW signals is weak, we adopted linear perturbation theory of General Relativity, namely we extracted the GW signal using the second time derivative of the quadruple moment.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Additionally, since the velocity of DM halos is small, we applied non-relativistic Newtonian Mechanics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, we extracted the GW signal through bremsstrahlung from a single DM halo collision.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we showed, ¯hij is of the order of 10−22, and it becomes maximum at the time of shortest distance as expected.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' However, since such an event typically corresponds to durations of the order of 1015s, we deduce that a single signal of this kind of GW is extremely hard to be detected.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As a next step we proceeded to the calculation of the energy spectrum of the collective effect of all DM halos collisions in the Universe.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' This can arise by the energy spectrum of a GW signal radiated by a single collision, multiplied by the DM halo collision rate, and integrating over the whole Universe.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Firstly, knowing the signal of a single collision we calculated its energy spectrum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Secondly, concerning the DM halo collision rate we showed that it is given by the product of the number density of DM halos, which is calculated by the EPS theory, with the collision rate of a single DM halo, which is given by simulation results, with a function of the linear growth rate of matter density through cosmological evolution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hence, integrating over all mass and distance ranges, we finally extracted the spectrum of the stochastic gravitational wave background created by DM halos collisions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' As we saw, the resulting contribution to the stochastic gravitational wave background is of the order of hc ≈ 10−30 in the pulsar timing array (PTA) band of f ≈ 10−9Hz, much smaller than other GW sources, such as super-massive black-hole mergers.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' However, in very low frequency band, hc is larger.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' With current observational sensitivity it cannot be detected, nevertheless it may be accessible by PTA in the future, where techniques of distinguishing signal overlap should be used in order to isolate it and use it for cosmological studies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' In summary, with the current and future significant advance in gravitational-wave as- tronomy, and in particular with the tremendous improvement on the sensitivity bounds that Collaborations like Laser Interferometer Space Antenna (LISA), Einstein Telescope (ET), Cosmic Explorer (CE), etc will bring, it is both interesting and necessary to investigate all – 11 – possibles contributions to the stochastic gravitational wave background.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' And the gravita- tional bremsstrahlung during galaxies and galaxy clusters collisions is one of them.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Acknowledgments We are grateful to Yifu Cai, Jiewen Chen, Zihan Zhou and Jiarui Li for helpful discussions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' This work is supported in part by the National Key R&D Program of China (2021YFC2203100), by the NSFC (11961131007, 11653002), by the Fundamental Research Funds for Central Uni- versities, by the CSC Innovation Talent Funds, by the CAS project for young scientists in basic research (YSBR-006), by the USTC Fellowship for International Cooperation, and by the USTC Research Funds of the Double First-Class Initiative.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' ENS acknowledges partici- pation in the COST Association Action CA18108 “Quantum Gravity Phenomenology in the Multimessenger Approach (QG-MM)”.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' All numerics were operated on the computer clusters LINDA & JUDY in the particle cosmology group at USTC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' References [1] LIGO Scientific, Virgo collaboration, Observation of Gravitational Waves from a Binary Black Hole Merger, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 116 (2016) 061102 [1602.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03837].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [2] LIGO Scientific, Virgo collaboration, GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 119 (2017) 161101 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05832].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [3] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Goldstein et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 848 (2017) L14 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05446].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [4] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Addazi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Quantum gravity phenomenology at the dawn of the multi-messenger era—A review, Prog.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Part.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Nucl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 125 (2022) 103948 [2111.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05659].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [5] LIGO Scientific, Virgo collaboration, GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' X 11 (2021) 021053 [2010.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14527].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [6] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ezquiaga and M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zumalac´arregui, Dark Energy After GW170817: Dead Ends and the Road Ahead, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 119 (2017) 251304 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05901].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [7] W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhao and L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wen, Localization accuracy of compact binary coalescences detected by the third-generation gravitational-wave detectors and implication for cosmology, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 97 (2018) 064031 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05325].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [8] LIGO Scientific, Virgo, Fermi-GBM, INTEGRAL collaboration, Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 848 (2017) L13 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05834].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [9] LIGO Scientific, Virgo, 1M2H, Dark Energy Camera GW-E, DES, DLT40, Las Cumbres Observatory, VINROUGE, MASTER collaboration, A gravitational-wave standard siren measurement of the Hubble constant, Nature 551 (2017) 85 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05835].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [10] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Baker, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bellini, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ferreira, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lagos, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Noller and I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sawicki, Strong constraints on cosmological gravity from GW170817 and GRB 170817A, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 119 (2017) 251301 [1710.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06394].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [11] G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Farrugia, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Levi Said, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Gakis and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Gravitational Waves in Modified Teleparallel Theories, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 97 (2018) 124064 [1804.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07365].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [12] Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Li, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis and L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Xue, f(T) gravity after GW170817 and GRB170817A, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 97 (2018) 103513 [1801.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05827].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 12 – [13] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hohmann, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pfeifer, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Levi Said and U.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ualikhanova, Propagation of gravitational waves in symmetric teleparallel gravity theories, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 99 (2019) 024009 [1808.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='02894].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [14] CANTATA collaboration, Modified Gravity and Cosmology: An Update by the CANTATA Network, 2105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='12582.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [15] P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Amaro-Seoane et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Low-frequency gravitational-wave science with eLISA/NGO, Class.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Quant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Grav.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 29 (2012) 124016 [1202.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0839].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [16] LISA collaboration, Laser Interferometer Space Antenna, 1702.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='00786.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [17] L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lentati et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', European Pulsar Timing Array Limits On An Isotropic Stochastic Gravitational-Wave Background, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 453 (2015) 2576 [1504.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03692].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [18] NANOGrav collaboration, The NANOGrav 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5 yr Data Set: Search for an Isotropic Stochastic Gravitational-wave Background, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 905 (2020) L34 [2009.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='04496].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [19] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Chen and Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang, Parameter-estimation Biases for Eccentric Supermassive Binary Black Holes in Pulsar Timing Arrays: Biases Caused by Ignored Pulsar Terms, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 929 (2022) 168 [2203.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05280].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [20] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Chen and Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhang, Gravitational wave detection from OJ 287 via a pulsar timing array, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 481 (2018) 2249 [1809.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='09473].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [21] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Christensen, Stochastic Gravitational Wave Backgrounds, Rept.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Prog.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 82 (2019) 016903 [1811.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08797].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [22] LIGO Scientific, Virgo collaboration, GW150914: Implications for the stochastic gravitational wave background from binary black holes, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 116 (2016) 131102 [1602.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03847].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [23] B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Owen, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lindblom, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cutler, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Schutz, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vecchio and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Andersson, Gravitational waves from hot young rapidly rotating neutron stars, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 58 (1998) 084020 [gr-qc/9804044].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [24] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jaffe and D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Backer, Gravitational waves probe the coalescence rate of massive black hole binaries, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 583 (2003) 616 [astro-ph/0210148].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [25] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Stergioulas, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bauswein, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zagkouris and H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Janka, Gravitational waves and nonaxisymmetric oscillation modes in mergers of compact object binaries, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 418 (2011) 427 [1105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0368].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [26] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Clark, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bauswein, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Stergioulas and D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Shoemaker, Observing Gravitational Waves From The Post-Merger Phase Of Binary Neutron Star Coalescence, Class.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Quant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Grav.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 33 (2016) 085003 [1509.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08522].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [27] F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' De Lillo, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Suresh and A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Miller, Stochastic gravitational-wave background searches and constraints on neutron-star ellipticity, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 513 (2022) 1105 [2203.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03536].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [28] D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Agarwal, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Suresh, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mandic, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Matas and T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Regimbau, Targeted search for the stochastic gravitational-wave background from the galactic millisecond pulsar population, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 106 (2022) 043019 [2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08378].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [29] Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Liu and Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Piao, Probing the primordial universe with gravitational waves detectors, JCAP 01 (2017) 010 [1612.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05088].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [30] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Flauger, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Karnesis, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Nardini, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pieroni, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ricciardone and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Torrado, Improved reconstruction of a stochastic gravitational wave background with LISA, JCAP 01 (2021) 059 [2009.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='11845].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [31] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bellomo, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bertacca, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jenkins, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Matarrese, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Raccanelli, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Regimbau et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', CLASS GWB: robust modeling of the astrophysical gravitational wave background anisotropies, JCAP 06 (2022) 030 [2110.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15059].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 13 – [32] Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhao, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Di, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bian and R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, Probing the electroweak symmetry breaking history with Gravitational waves, 2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='04427.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [33] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Maggiore, Gravitational wave experiments and early universe cosmology, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rept.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 331 (2000) 283 [gr-qc/9909001].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [34] K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ananda, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Clarkson and D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wands, The Cosmological gravitational wave background from primordial density perturbations, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 75 (2007) 123518 [gr-qc/0612013].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [35] C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Caprini and D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Figueroa, Cosmological Backgrounds of Gravitational Waves, Class.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Quant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Grav.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 35 (2018) 163001 [1801.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='04268].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [36] I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Musco and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Miller, Primordial black hole formation in the early universe: critical behaviour and self-similarity, Class.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Quant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Grav.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 30 (2013) 145009 [1201.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2379].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [37] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Papanikolaou, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Tzerefos, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Basilakos and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Scalar induced gravitational waves from primordial black hole Poisson fluctuations in f(R) gravity, JCAP 10 (2022) 013 [2112.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15059].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [38] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Papanikolaou, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Tzerefos, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Basilakos and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, No constraints for f(T) gravity from gravitational waves induced from primordial black hole fluctuations, 2205.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06094.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [39] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Banerjee, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Papanikolaou and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Constraining F(R) bouncing cosmologies through primordial black holes, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 106 (2022) 124012 [2206.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='01150].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [40] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Dufaux, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bergman, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Felder, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kofman and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Uzan, Theory and Numerics of Gravitational Waves from Preheating after Inflation, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 76 (2007) 123517 [0707.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0875].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [41] Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-f.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai and Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Piao, Probing noncommutativity with inflationary gravitational waves, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' B 657 (2007) 1 [gr-qc/0701114].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [42] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kuroyanagi, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Chiba and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sugiyama, Precision calculations of the gravitational wave background spectrum from inflation, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 79 (2009) 103501 [0804.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='3249].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [43] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mavromatos and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sol`a Peracaula, Stringy-running-vacuum-model inflation: from primordial gravitational waves and stiff axion matter to dynamical dark energy, Eur.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' ST 230 (2021) 2077 [2012.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07971].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [44] Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhou, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jiang, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sasaki and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pi, Primordial black holes and gravitational waves from resonant amplification during inflation, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 102 (2020) 103527 [2010.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03537].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [45] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ach´ucarro et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Inflation: Theory and Observations, 2203.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08128.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [46] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhu, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ilyas, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zheng, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Scalar and tensor perturbations in DHOST bounce cosmology, JCAP 11 (2021) 045 [2108.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='01339].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [47] Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ma, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sasaki, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang and Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zhou, Highly non-Gaussian tails and primordial black holes from single-field inflation, 2207.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='11910.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [48] G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Franciolini, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Musco, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pani and A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Urbano, From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch, 2209.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='05959.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [49] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Addazi, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Capozziello and Q.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Gan, Induced gravitational waves from multi-sound speed resonances during cosmological inflation, JCAP 08 (2022) 051 [2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07668].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [50] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mavromatos, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Spanos and I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Stamou, Primordial black holes and gravitational waves in multiaxion-Chern-Simons inflation, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 106 (2022) 063532 [2206.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07963].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [51] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kazempour, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Akbarieh and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Aether-quasi-dilaton massive gravity, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 106 (2022) 103502 [2207.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='13936].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 14 – [52] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Papanikolaou, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lymperis, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lola and E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Saridakis, Primordial black holes and gravitational waves from non-canonical inflation, 2211.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='14900.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [53] B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Allen and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Romano, Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 59 (1999) 102001 [gr-qc/9710117].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [54] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Capozziello, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' De Laurentis, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Nojiri and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Odintsov, f(R) gravity constrained by PPN parameters and stochastic background of gravitational waves, Gen.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rel.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Grav.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 41 (2009) 2313 [0808.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='1335].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [55] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sesana, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vecchio and C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Colacino, The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 390 (2008) 192 [0804.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4476].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [56] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Romano and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cornish, Detection methods for stochastic gravitational-wave backgrounds: a unified treatment, Living Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rel.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 20 (2017) 2 [1608.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06889].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [57] P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Huang, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Long and L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang, Probing the Electroweak Phase Transition with Higgs Factories and Gravitational Waves, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 94 (2016) 075008 [1608.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06619].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [58] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Liu, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Liu, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang and T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Yang, Probing cosmic anisotropy with gravitational waves as standard sirens, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 97 (2018) 103005 [1712.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='00952].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [59] Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cai, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Chen, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Tong, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wang and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='-F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Yan, When Primordial Black Holes from Sound Speed Resonance Meet a Stochastic Background of Gravitational Waves, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 100 (2019) 043518 [1902.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08187].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [60] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Regimbau, The Quest for the Astrophysical Gravitational-Wave Background with Terrestrial Detectors, Symmetry 14 (2022) 270.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [61] NANOGRAV collaboration, The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 859 (2018) 47 [1801.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='02617].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [62] L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Speri, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Karnesis, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Renzini and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Gair, A roadmap of gravitational wave data analysis, Nature Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 6 (2022) 1356.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [63] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Georgousi, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Karnesis, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Korol, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pieroni and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Stergioulas, Gravitational Waves from Double White Dwarfs as probes of the Milky Way, 2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07349.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [64] Planck collaboration, Planck 2018 results.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Overview and the cosmological legacy of Planck, Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 641 (2020) A1 [1807.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06205].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [65] Planck collaboration, Planck 2018 results.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' VI.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cosmological parameters, Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 641 (2020) A6 [1807.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06209].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [66] Planck collaboration, Planck 2013 results.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' XVI.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Cosmological parameters, Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 571 (2014) A16 [1303.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='5076].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [67] G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bertone, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Hooper and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Silk, Particle dark matter: Evidence, candidates and constraints, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rept.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 405 (2005) 279 [hep-ph/0404175].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [68] G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jungman, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kamionkowski and K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Griest, Supersymmetric dark matter, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rept.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 267 (1996) 195 [hep-ph/9506380].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [69] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Preskill, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wise and F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wilczek, Cosmology of the Invisible Axion, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' B 120 (1983) 127.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [70] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Arkani-Hamed, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Finkbeiner, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Slatyer and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Weiner, A Theory of Dark Matter, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 79 (2009) 015014 [0810.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='0713].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [71] V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rubin, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Thonnard and W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ford, Jr.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 /R = 4kpc/ to UGC 2885 /R = 122 kpc/, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 238 (1980) 471.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 15 – [72] D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Clowe, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bradac, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Gonzalez, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Markevitch, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Randall, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jones et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', A direct empirical proof of the existence of dark matter, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 648 (2006) L109 [astro-ph/0608407].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [73] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Navarro, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Frenk and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' White, The Structure of cold dark matter halos, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 462 (1996) 563 [astro-ph/9508025].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [74] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Davis, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Efstathiou, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Frenk and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' White, The Evolution of Large Scale Structure in a Universe Dominated by Cold Dark Matter, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 292 (1985) 371.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [75] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' White and M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rees, Core condensation in heavy halos: A Two stage theory for galaxy formation and clusters, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 183 (1978) 341.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [76] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bullock, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kolatt, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sigad, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Somerville, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kravtsov, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Klypin et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Profiles of dark haloes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Evolution, scatter, and environment, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 321 (2001) 559 [astro-ph/9908159].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [77] P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Peters, Relativistic gravitational bremsstrahlung, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 1 (1970) 1559.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [78] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Crowley and K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Thorne, The Generation of Gravitational Waves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' The Postlinear Formalism Revisited, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 215 (1977) 624.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [79] L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Smarr, Gravitational Radiation from Distant Encounters and from Headon Collisions of Black Holes: The Zero Frequency Limit, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 15 (1977) 2069.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [80] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kovacs and K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Thorne, The Generation of Gravitational Waves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bremsstrahlung, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 224 (1978) 62.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [81] B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Farris, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Liu and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Shapiro, Binary black hole mergers in gaseous disks: Simulations in general relativity, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 84 (2011) 024024 [1105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='2821].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [82] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mougiakakos, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Riva and F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vernizzi, Gravitational Bremsstrahlung in the post-Minkowskian effective field theory, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 104 (2021) 024041 [2102.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08339].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [83] E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Herrmann, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Parra-Martinez, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Ruf and M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Zeng, Gravitational Bremsstrahlung from Reverse Unitarity, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 126 (2021) 201602 [2101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='07255].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [84] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mougiakakos, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Riva and F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vernizzi, Gravitational Bremsstrahlung with Tidal Effects in the Post-Minkowskian Expansion, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 129 (2022) 121101 [2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06556].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [85] G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='U.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Jakobsen, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mogull, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Plefka and J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Steinhoff, Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 128 (2022) 011101 [2106.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='10256].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [86] L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Gond´an and B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Kocsis, Astrophysical gravitational-wave echoes from galactic nuclei, Mon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Not.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Roy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 515 (2022) 3299 [2110.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='09540].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [87] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Riva, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vernizzi and L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Wong, Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 106 (2022) 044013 [2205.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='15295].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [88] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Maggiore, Gravitational Waves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vol.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 1: Theory and Experiments, Oxford Master Series in Physics, Oxford University Press (2007).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [89] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Genel, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bouche, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Naab, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Sternberg and R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Genzel, The growth of dark matter halos: evidence for significant smooth accretion, Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 719 (2010) 229 [1005.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='4058].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [90] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Maggiore, Gravitational Waves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Vol.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 2: Astrophysics and Cosmology, Oxford University Press (3, 2018).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [91] H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Mo, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' van den Bosch and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' White, Galaxy Formation and Evolution (2010).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [92] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Antoniadis, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Arzoumanian, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Babak, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bailes, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Bak Nielsen, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Baker et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', The International Pulsar Timing Array second data release: Search for an isotropic gravitational wave background, mnras 510 (2022) 4873 [2201.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='03980].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [93] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Burke-Spolaor et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', The Astrophysics of Nanohertz Gravitational Waves, Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Astrophys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' 27 (2019) 5 [1811.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='08826].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 16 – [94] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Tinto, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Armstrong and F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Estabrook, Discriminating a gravitational wave background from instrumental noise in the LISA detector, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' D 63 (2001) 021101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [95] C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Caprini, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Figueroa, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Flauger, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Nardini, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Peloso, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Pieroni et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', Reconstructing the spectral shape of a stochastic gravitational wave background with LISA, JCAP 11 (2019) 017 [1906.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='09244].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [96] N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Karnesis et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=', The Laser Interferometer Space Antenna mission in Greece White Paper, 2209.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='04358.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' [97] C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Chapman-Bird, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Berry and G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' Woan, Rapid determination of LISA sensitivity to extreme mass ratio inspirals with machine learning, 2212.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content='06166.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'} +page_content=' – 17 –' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/CdE0T4oBgHgl3EQfgQEc/content/2301.02414v1.pdf'}