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gr-qc/0606094
Eric Poisson
Brent Preston and Eric Poisson
A light-cone gauge for black-hole perturbation theory
12 pages
Phys.Rev. D74 (2006) 064010
10.1103/PhysRevD.74.064010
null
gr-qc
null
The geometrical meaning of the Eddington-Finkelstein coordinates of Schwarzschild spacetime is well understood: (i) the advanced-time coordinate v is constant on incoming light cones that converge toward r=0, (ii) the angles theta and phi are constant on the null generators of each light cone, (iii) the radial coordinate r is an affine-parameter distance along each generator, and (iv) r is an areal radius, in the sense that 4 pi r^2 is the area of each two-surface (v,r) = constant. The light-cone gauge of black-hole perturbation theory, which is formulated in this paper, places conditions on a perturbation of the Schwarzschild metric that ensure that properties (i)--(iii) of the coordinates are preserved in the perturbed spacetime. Property (iv) is lost in general, but it is retained in exceptional situations that are identified in this paper. Unlike other popular choices of gauge, the light-cone gauge produces a perturbed metric that is expressed in a meaningful coordinate system; this is a considerable asset that greatly facilitates the task of extracting physical consequences. We illustrate the use of the light-cone gauge by calculating the metric of a black hole immersed in a uniform magnetic field. We construct a three-parameter family of solutions to the perturbative Einstein-Maxwell equations and argue that it is applicable to a broader range of physical situations than the exact, two-parameter Schwarzschild-Melvin family.
[ { "created": "Wed, 21 Jun 2006 20:39:16 GMT", "version": "v1" } ]
2009-11-11
[ [ "Preston", "Brent", "" ], [ "Poisson", "Eric", "" ] ]
The geometrical meaning of the Eddington-Finkelstein coordinates of Schwarzschild spacetime is well understood: (i) the advanced-time coordinate v is constant on incoming light cones that converge toward r=0, (ii) the angles theta and phi are constant on the null generators of each light cone, (iii) the radial coordinate r is an affine-parameter distance along each generator, and (iv) r is an areal radius, in the sense that 4 pi r^2 is the area of each two-surface (v,r) = constant. The light-cone gauge of black-hole perturbation theory, which is formulated in this paper, places conditions on a perturbation of the Schwarzschild metric that ensure that properties (i)--(iii) of the coordinates are preserved in the perturbed spacetime. Property (iv) is lost in general, but it is retained in exceptional situations that are identified in this paper. Unlike other popular choices of gauge, the light-cone gauge produces a perturbed metric that is expressed in a meaningful coordinate system; this is a considerable asset that greatly facilitates the task of extracting physical consequences. We illustrate the use of the light-cone gauge by calculating the metric of a black hole immersed in a uniform magnetic field. We construct a three-parameter family of solutions to the perturbative Einstein-Maxwell equations and argue that it is applicable to a broader range of physical situations than the exact, two-parameter Schwarzschild-Melvin family.
1702.05201
Yen-Kheng Lim
Yen-Kheng Lim
Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity
Typos corrected, 20 pages, no figures
Phys. Rev. D 95, 104008 (2017)
10.1103/PhysRevD.95.104008
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With this procedure, we present interesting solutions such as a one-parameter generalisation of the dilaton-Melvin spacetime and a three-parameter solution that interpolates between the Reissner-Nordstr\"{o}m and Bertotti-Robinson solution. This procedure also allows simple, alternative derivations of known solutions such as the Lifshitz spacetime and the planar Anti-de Sitter naked singularity. In the latter case, the metric is cast in a simpler form which reveals the presence of an additional curvature singularity.
[ { "created": "Fri, 17 Feb 2017 01:17:13 GMT", "version": "v1" }, { "created": "Tue, 9 May 2017 00:37:09 GMT", "version": "v2" } ]
2017-05-10
[ [ "Lim", "Yen-Kheng", "" ] ]
The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With this procedure, we present interesting solutions such as a one-parameter generalisation of the dilaton-Melvin spacetime and a three-parameter solution that interpolates between the Reissner-Nordstr\"{o}m and Bertotti-Robinson solution. This procedure also allows simple, alternative derivations of known solutions such as the Lifshitz spacetime and the planar Anti-de Sitter naked singularity. In the latter case, the metric is cast in a simpler form which reveals the presence of an additional curvature singularity.
0708.1169
Sebastian Szybka
Piotr T. Chru\'sciel, Sebastian J. Szybka
On the Ernst electro-vacuum equations and ergosurfaces
15 pages, no figures, minor changes
ActaPhys.Polon.B39:59-74,2008
null
null
gr-qc
null
The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (E,phi) of the Ernst electro-vacuum equations is considered. We prove smoothness of those ergosurfaces at which Re(E) provides the dominant contribution to f=-(Re(E)+|phi|^2) at the zero-level-set of f. Some partial results are obtained in the remaining cases: in particular we give examples of leading-order solutions with singular isolated "ergocircles".
[ { "created": "Thu, 9 Aug 2007 19:32:19 GMT", "version": "v1" }, { "created": "Sat, 10 Nov 2007 09:51:24 GMT", "version": "v2" } ]
2008-11-26
[ [ "Chruściel", "Piotr T.", "" ], [ "Szybka", "Sebastian J.", "" ] ]
The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (E,phi) of the Ernst electro-vacuum equations is considered. We prove smoothness of those ergosurfaces at which Re(E) provides the dominant contribution to f=-(Re(E)+|phi|^2) at the zero-level-set of f. Some partial results are obtained in the remaining cases: in particular we give examples of leading-order solutions with singular isolated "ergocircles".
0905.4121
Albert Tarantola
Bartolome Coll and Albert Tarantola
Using pulsars to define space-time coordinates
null
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Fully relativistic coordinates have been proposed for (relativistically) running a "GPS" system. These coordinates are the arrival times of the light signals emitted by four "satellites" (clocks). Replacing the signals emitted by four controlled clocks by the signals emitted by four pulsars defines a coordinate system with lower accuracy, but valid across the whole Solar System. We here precisely define this new coordinate system, by choosing four particular pulsars and a particular event as the origin of the coordinates.
[ { "created": "Tue, 26 May 2009 06:19:45 GMT", "version": "v1" } ]
2009-05-27
[ [ "Coll", "Bartolome", "" ], [ "Tarantola", "Albert", "" ] ]
Fully relativistic coordinates have been proposed for (relativistically) running a "GPS" system. These coordinates are the arrival times of the light signals emitted by four "satellites" (clocks). Replacing the signals emitted by four controlled clocks by the signals emitted by four pulsars defines a coordinate system with lower accuracy, but valid across the whole Solar System. We here precisely define this new coordinate system, by choosing four particular pulsars and a particular event as the origin of the coordinates.
gr-qc/0701074
H Mohseni Sadjadi
H. Mohseni Sadjadi
Particle vs. future event horizon in interacting holographic dark energy model
12 pages, 2 figures, references added, abstract changed, typos corrected. To be published in JCAP
JCAP 0702:026,2007
10.1088/1475-7516/2007/02/026
null
gr-qc astro-ph
null
By choosing the future event horizon as the horizon of the flat FLRW universe, we show that although the interacting holographic dark energy model is able to explain the phantom divide line crossing, but the thermodynamics second law is not respected in this model. We show that if one takes the particle event horizon as the horizon of the universe, besides describing $\omega=-1$ crossing in a consistent way with thermodynamics second law, he is able to determine appropriately the ratio of dark matter to dark energy density at transition time. In this approach, after the first transition from quintessence to phantom, there is another transition from phantom to quintessence phase which avoids the big rip singularity.
[ { "created": "Sun, 14 Jan 2007 08:36:39 GMT", "version": "v1" }, { "created": "Wed, 24 Jan 2007 21:16:31 GMT", "version": "v2" }, { "created": "Wed, 7 Feb 2007 07:10:53 GMT", "version": "v3" } ]
2010-10-27
[ [ "Sadjadi", "H. Mohseni", "" ] ]
By choosing the future event horizon as the horizon of the flat FLRW universe, we show that although the interacting holographic dark energy model is able to explain the phantom divide line crossing, but the thermodynamics second law is not respected in this model. We show that if one takes the particle event horizon as the horizon of the universe, besides describing $\omega=-1$ crossing in a consistent way with thermodynamics second law, he is able to determine appropriately the ratio of dark matter to dark energy density at transition time. In this approach, after the first transition from quintessence to phantom, there is another transition from phantom to quintessence phase which avoids the big rip singularity.
gr-qc/0108011
SG Ghosh
S G Ghosh (Science College, Nagpur, India) and A Beesham (University of Zululand, RSA)
Higher dimensional inhomogeneous dust collapse and cosmic censorship
15 pages, LaTeX, 1 figure, 2 tables
Phys.Rev. D64 (2001) 124005
10.1103/PhysRevD.64.124005
null
gr-qc
null
We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally strong in the sense of Tipler. Higher dimensions seem to favour black holes rather than naked singularities.
[ { "created": "Fri, 3 Aug 2001 06:45:39 GMT", "version": "v1" } ]
2009-11-07
[ [ "Ghosh", "S G", "", "Science College, Nagpur, India" ], [ "Beesham", "A", "", "University\n of Zululand, RSA" ] ]
We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally strong in the sense of Tipler. Higher dimensions seem to favour black holes rather than naked singularities.
0708.2378
Glenn Barnich
Glenn Barnich and Geoffrey Compere
Surface charge algebra in gauge theories and thermodynamic integrability
40 pages Latex file, published version
J.Math.Phys.49:042901,2008
10.1063/1.2889721
ULB-TH/06-30
gr-qc hep-th
null
Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius' theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptotic context, we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended. Finally, we make contact with Hamiltonian and with covariant phase space methods.
[ { "created": "Fri, 17 Aug 2007 15:40:13 GMT", "version": "v1" }, { "created": "Sun, 18 May 2008 22:41:25 GMT", "version": "v2" } ]
2008-11-26
[ [ "Barnich", "Glenn", "" ], [ "Compere", "Geoffrey", "" ] ]
Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius' theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptotic context, we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended. Finally, we make contact with Hamiltonian and with covariant phase space methods.
2108.00175
Mehdi Shokri
Mehdi Shokri, Mohammad Reza Setare, Salvatore Capozziello and Jafar Sadeghi
Constant-roll $f(R)$ inflation compared with Cosmic Microwave Background anisotropies and swampland criteria
16 pages, 5 figures
null
null
null
gr-qc astro-ph.CO
http://creativecommons.org/publicdomain/zero/1.0/
Inflationary models derived from $f(R)$ gravity, where the scalaron rolls down with a constant rate from the top to the minimum of the effective potential, are considered. Specifically, we take into account three $f(R)$ models \textit{i.e.}\,Starobinsky $R^{2}$, $R^{2p}$ and the logarithmic corrected models. We compare the inflationary parameters derived from the models with the observational data of CMB anisotropies \textit{i.e.} the Planck and Keck/array datasets in order to find observational constraints on the parameters space. We find that although our $f(R)$ constant-roll models for $\gamma=0$ show observationally acceptable values of $r$, they do not predict favoured values of the spectral index. In particular, we have $n_{s}>1$ for the Starobinsky $R^{2}$ and $R^{2p}$ models and $0.996<n_{s}<0.999$ for logarithmic model. Finally, we study the models from the point of view of Weak Gravity Conjecture adopting the swampland criteria.
[ { "created": "Sat, 31 Jul 2021 08:10:03 GMT", "version": "v1" }, { "created": "Fri, 13 Aug 2021 05:05:03 GMT", "version": "v2" } ]
2021-08-16
[ [ "Shokri", "Mehdi", "" ], [ "Setare", "Mohammad Reza", "" ], [ "Capozziello", "Salvatore", "" ], [ "Sadeghi", "Jafar", "" ] ]
Inflationary models derived from $f(R)$ gravity, where the scalaron rolls down with a constant rate from the top to the minimum of the effective potential, are considered. Specifically, we take into account three $f(R)$ models \textit{i.e.}\,Starobinsky $R^{2}$, $R^{2p}$ and the logarithmic corrected models. We compare the inflationary parameters derived from the models with the observational data of CMB anisotropies \textit{i.e.} the Planck and Keck/array datasets in order to find observational constraints on the parameters space. We find that although our $f(R)$ constant-roll models for $\gamma=0$ show observationally acceptable values of $r$, they do not predict favoured values of the spectral index. In particular, we have $n_{s}>1$ for the Starobinsky $R^{2}$ and $R^{2p}$ models and $0.996<n_{s}<0.999$ for logarithmic model. Finally, we study the models from the point of view of Weak Gravity Conjecture adopting the swampland criteria.
gr-qc/0108054
Louis Scheffer
Louis K. Scheffer
A Conventional Physics Explanation for the Anomalous Acceleration of Pioneer 10/11
LaTex; 5 pages, 2 figures, to be submitted to PRL
null
null
null
gr-qc astro-ph
null
Anderson, et al., find the measured trajectories of Pioneer 10 and 11 spacecraft deviate from the trajectories computed from known forces acting on them. This unmodelled acceleration can be accounted for by non-isotropic radiation of spacecraft heat. Various forms of non-isotropic radiation were proposed by Katz, Murphy, and Scheffer, but Anderson, et al. felt that none of these could explain the observed effect. This paper calculates the known effects in more detail and considers new sources of radiation, all based on spacecraft construction. These effects are then modelled over the duration of the experiment. The model provides a reasonable fit to the acceleration from its appearance at a heliocentric distance of 5 AU to the last measurement at 71 AU, but overpredicts by 9% the decrease in acceleration between intervals I and III of the Pioneer 10 observations. (For comparison, the two different measurements of the effect (SIGMA and CHASMP) themselves differ by 4% in interval III.) In any case, by accounting for the bulk of the acceleration, the proposed mechanism makes it much more likely that the entire effect can be explained without the need for new physics.
[ { "created": "Wed, 22 Aug 2001 22:19:11 GMT", "version": "v1" } ]
2007-05-23
[ [ "Scheffer", "Louis K.", "" ] ]
Anderson, et al., find the measured trajectories of Pioneer 10 and 11 spacecraft deviate from the trajectories computed from known forces acting on them. This unmodelled acceleration can be accounted for by non-isotropic radiation of spacecraft heat. Various forms of non-isotropic radiation were proposed by Katz, Murphy, and Scheffer, but Anderson, et al. felt that none of these could explain the observed effect. This paper calculates the known effects in more detail and considers new sources of radiation, all based on spacecraft construction. These effects are then modelled over the duration of the experiment. The model provides a reasonable fit to the acceleration from its appearance at a heliocentric distance of 5 AU to the last measurement at 71 AU, but overpredicts by 9% the decrease in acceleration between intervals I and III of the Pioneer 10 observations. (For comparison, the two different measurements of the effect (SIGMA and CHASMP) themselves differ by 4% in interval III.) In any case, by accounting for the bulk of the acceleration, the proposed mechanism makes it much more likely that the entire effect can be explained without the need for new physics.
gr-qc/0512058
Tatyana P. Shestakova
T. P. Shestakova
Changing the Hilbert space structure as a consequence of gauge transformations in "extended phase space" version of quantum geometrodynamics
12 pages, 2 figures, talk presented at the International Conference "Physical Interpretations of Relativity Theory - PIRT-2005" (Bauman University, Moscow, July 2005)
Physical Interpretations of Relativity Theory: Proceedings of International Meeting (Moscow, 4 - 7 July 2005), eds by M. C. Duffy, V. O. Gladyshev, A. N. Morozov and P. Rowlands, Moscow, 2005, P. 26 - 34
null
null
gr-qc
null
In the earlier works on quantum geometrodynamics in extended phase space it has been argued that a wave function of the Universe should satisfy a Schrodinger equation. Its form, as well as a measure in Schrodinger scalar product, depends on a gauge condition (a chosen reference frame). It is known that the geometry of an appropriate Hilbert space is determined by introducing the scalar product, so the Hilbert space structure turns out to be in a large degree depending on a chosen gauge condition. In the present work we analyse this issue from the viewpoint of the path integral approach. We consider how the gauge condition changes as a result of gauge transformations. In this respect, three kinds of gauge transformations can be singled out: Firstly, there are residual gauge transformations, which do not change the gauge condition. The second kind is the transformations whose parameters can be related by homotopy. Then the change of gauge condition could be described by smoothly changing function. In particular, in this context time dependent gauges could be discussed. We also suggest that this kind of gauge transformations leads to a smooth changing of solutions to the Schrodinger equation. The third kind of the transformations includes those whose parameters belong to different homotopy classes. They are of the most interest from the viewpoint of changing the Hilbert space structure. In this case the gauge condition and the very form of the Schrodinger equation would change in discrete steps when we pass from a spacetime region with one gauge condition to another region with another gauge condition. In conclusion we discuss the relation between quantum gravity and fundamental problems of ordinary quantum mechanics.
[ { "created": "Fri, 9 Dec 2005 11:52:22 GMT", "version": "v1" } ]
2007-05-23
[ [ "Shestakova", "T. P.", "" ] ]
In the earlier works on quantum geometrodynamics in extended phase space it has been argued that a wave function of the Universe should satisfy a Schrodinger equation. Its form, as well as a measure in Schrodinger scalar product, depends on a gauge condition (a chosen reference frame). It is known that the geometry of an appropriate Hilbert space is determined by introducing the scalar product, so the Hilbert space structure turns out to be in a large degree depending on a chosen gauge condition. In the present work we analyse this issue from the viewpoint of the path integral approach. We consider how the gauge condition changes as a result of gauge transformations. In this respect, three kinds of gauge transformations can be singled out: Firstly, there are residual gauge transformations, which do not change the gauge condition. The second kind is the transformations whose parameters can be related by homotopy. Then the change of gauge condition could be described by smoothly changing function. In particular, in this context time dependent gauges could be discussed. We also suggest that this kind of gauge transformations leads to a smooth changing of solutions to the Schrodinger equation. The third kind of the transformations includes those whose parameters belong to different homotopy classes. They are of the most interest from the viewpoint of changing the Hilbert space structure. In this case the gauge condition and the very form of the Schrodinger equation would change in discrete steps when we pass from a spacetime region with one gauge condition to another region with another gauge condition. In conclusion we discuss the relation between quantum gravity and fundamental problems of ordinary quantum mechanics.
1406.4118
Farook Rahaman
Farook Rahaman, Koushik Chakraborty, P.K.F. Kuhfittig, G. C. Shit, Mosiur Rahman
A new deterministic model of strange stars
one new figures and minor revisions have been done. To appear in Eur.Phys.J.C
null
10.1140/epjc/s10052-014-3126-6
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The observed evidence for the existence of strange stars and the concomitant observed masses and radii are used to derive an interpolation formula for the mass as a function of the radial coordinate. The resulting general mass function becomes an effective model for a strange star. The analysis is based on the MIT bag model and yields the energy density, as well as the radial and transverse pressures. Using the interpolation function for the mass, it is shown that a mass-radius relation due to Buchdahl is satisfied in our model. We find the surface redshift ($Z$) corresponding to the compactness of the stars. Finally, from our results, we predict some characteristics of a strange star of radius 9.9 km.
[ { "created": "Fri, 13 Jun 2014 05:21:52 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2014 12:32:23 GMT", "version": "v2" } ]
2015-06-22
[ [ "Rahaman", "Farook", "" ], [ "Chakraborty", "Koushik", "" ], [ "Kuhfittig", "P. K. F.", "" ], [ "Shit", "G. C.", "" ], [ "Rahman", "Mosiur", "" ] ]
The observed evidence for the existence of strange stars and the concomitant observed masses and radii are used to derive an interpolation formula for the mass as a function of the radial coordinate. The resulting general mass function becomes an effective model for a strange star. The analysis is based on the MIT bag model and yields the energy density, as well as the radial and transverse pressures. Using the interpolation function for the mass, it is shown that a mass-radius relation due to Buchdahl is satisfied in our model. We find the surface redshift ($Z$) corresponding to the compactness of the stars. Finally, from our results, we predict some characteristics of a strange star of radius 9.9 km.
gr-qc/9911051
Esposito Giampiero
Giampiero Esposito
Complex Geometry of Nature and General Relativity
229 pages, plain Tex
null
null
DSF preprint 99/38
gr-qc
null
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
[ { "created": "Mon, 15 Nov 1999 11:06:50 GMT", "version": "v1" } ]
2007-05-23
[ [ "Esposito", "Giampiero", "" ] ]
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
gr-qc/0601112
Hakan Andreasson
Hakan Andreasson, Gerhard Rein
A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system
29 pages, 10 figures
Class.Quant.Grav. 23 (2006) 3659-3678
10.1088/0264-9381/23/11/001
null
gr-qc
null
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are investigated numerically. We find support for the conjecture by Zeldovich and Novikov that the binding energy maximum along a steady state sequence signals the onset of instability, a conjecture which we extend to and confirm for non-isotropic states. The sign of the binding energy of a solution turns out to be relevant for its time evolution in general. We relate the stability properties to the question of universality in critical collapse and find that for Vlasov matter universality does not seem to hold.
[ { "created": "Thu, 26 Jan 2006 15:09:46 GMT", "version": "v1" } ]
2009-11-11
[ [ "Andreasson", "Hakan", "" ], [ "Rein", "Gerhard", "" ] ]
The stability features of steady states of the spherically symmetric Einstein-Vlasov system are investigated numerically. We find support for the conjecture by Zeldovich and Novikov that the binding energy maximum along a steady state sequence signals the onset of instability, a conjecture which we extend to and confirm for non-isotropic states. The sign of the binding energy of a solution turns out to be relevant for its time evolution in general. We relate the stability properties to the question of universality in critical collapse and find that for Vlasov matter universality does not seem to hold.
2207.10717
Hemwati Nandan
Shubham Kala, Hemwati Nandan and Prateek Sharma
Shadow and weak gravitational lensing of a rotating regular black hole in a non-minimally coupled Einstein-Yang-Mills theory in the presence of plasma
null
Eur. Phys. J. Plus (2022)
10.1140/epjp/s13360-022-02634-6
null
gr-qc
http://creativecommons.org/licenses/by-sa/4.0/
The null geodesics of the regular and rotating magnetically charged black hole in a non-minimally coupled Einstein-Yang-Mills theory surrounded by a plasma medium is studied. The effect of magnetic charge and Yang-Mills parameter on the effective potential and radius of photon orbits has investigated. We then study the shadow of a regular and rotating magnetically charged black hole along with the observables in presence of the plasma medium. The presence of plasma medium affects the apparent size of the shadow of a regular rotating black hole in comparison to vacuum case. Variation of shadow radius and deformation parameter with Yang-Mills and plasma parameter has examined. Furthermore, the deflection angle of the massless test particles in weak field approximation around this black hole spacetime in presence of homogeneous plasma medium is also investigated. Finally, we have compared the obtained results with Kerr-Newman and Schwarzschild black hole solutions in general relativity (GR).
[ { "created": "Thu, 21 Jul 2022 19:12:44 GMT", "version": "v1" } ]
2022-07-25
[ [ "Kala", "Shubham", "" ], [ "Nandan", "Hemwati", "" ], [ "Sharma", "Prateek", "" ] ]
The null geodesics of the regular and rotating magnetically charged black hole in a non-minimally coupled Einstein-Yang-Mills theory surrounded by a plasma medium is studied. The effect of magnetic charge and Yang-Mills parameter on the effective potential and radius of photon orbits has investigated. We then study the shadow of a regular and rotating magnetically charged black hole along with the observables in presence of the plasma medium. The presence of plasma medium affects the apparent size of the shadow of a regular rotating black hole in comparison to vacuum case. Variation of shadow radius and deformation parameter with Yang-Mills and plasma parameter has examined. Furthermore, the deflection angle of the massless test particles in weak field approximation around this black hole spacetime in presence of homogeneous plasma medium is also investigated. Finally, we have compared the obtained results with Kerr-Newman and Schwarzschild black hole solutions in general relativity (GR).
gr-qc/0410098
Donato Bini
D. Bini, C. Cherubini, B. Mashhoon
Inertial effects of an accelerating black hole
Proceedings of the XVI Conference of the Italian Society for General Relativity and Gravitation (SIGRAV), Vietri (SA), September 13-16, 2004. Prepared using revtex4 macros
AIP Conference Proc. 751 (2005) 37-45.
10.1063/1.1891528
null
gr-qc astro-ph
null
We consider the static vacuum C metric that represents the gravitational field of a black hole of mass $m$ undergoing uniform translational acceleration $A$ such that $mA<1/(3\sqrt{3})$. The influence of the inertial acceleration on the exterior perturbations of this background are investigated. In particular, we find no evidence for a direct spin-acceleration coupling.
[ { "created": "Wed, 20 Oct 2004 08:35:35 GMT", "version": "v1" } ]
2009-11-10
[ [ "Bini", "D.", "" ], [ "Cherubini", "C.", "" ], [ "Mashhoon", "B.", "" ] ]
We consider the static vacuum C metric that represents the gravitational field of a black hole of mass $m$ undergoing uniform translational acceleration $A$ such that $mA<1/(3\sqrt{3})$. The influence of the inertial acceleration on the exterior perturbations of this background are investigated. In particular, we find no evidence for a direct spin-acceleration coupling.
2006.03940
Badri Krishnan
Daniel Pook-Kolb, Ofek Birnholtz, Jose Luis Jaramillo, Badri Krishnan and Erik Schnetter
Horizons in a binary black hole merger II: Fluxes, multipole moments and stability
25 pages, 19 figures
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study in detail the dynamics and stability of marginally trapped surfaces during a binary black hole merger. This is the second in a two-part study. The first part studied the basic geometric aspects of the world tubes traced out by the marginal surfaces and the status of the area increase law. Here we continue and study the dynamics of the horizons during the merger, again for the head-on collision of two non-spinning black holes. In particular we follow the spectrum of the stability operator during the course of the merger for all the horizons present in the problem and implement systematic spectrum statistics for its analysis. We also study more physical aspects of the merger, namely the fluxes of energy which cross the horizon and cause the area to change. We construct a natural coordinate system on the horizon and decompose the various fields appearing in the flux, primarily the shear of the outgoing null normal, in spin weighted spherical harmonics. For each of the modes we extract the decay rates as the final black hole approaches equilibrium. The late part of the decay is consistent with the expected quasi-normal mode frequencies, while the early part displays a much steeper fall-off. Similarly, we calculate the decay of the horizon multipole moments, again finding two different regimes. Finally, seeking an explanation for this behavior, motivated by the membrane paradigm interpretation, we attempt to identify the different dynamical timescales of the area increase. This leads to the definition of a ``slowness parameter'' for predicting the onset of transition from a faster to a slower decay.
[ { "created": "Sat, 6 Jun 2020 18:56:25 GMT", "version": "v1" } ]
2020-06-09
[ [ "Pook-Kolb", "Daniel", "" ], [ "Birnholtz", "Ofek", "" ], [ "Jaramillo", "Jose Luis", "" ], [ "Krishnan", "Badri", "" ], [ "Schnetter", "Erik", "" ] ]
We study in detail the dynamics and stability of marginally trapped surfaces during a binary black hole merger. This is the second in a two-part study. The first part studied the basic geometric aspects of the world tubes traced out by the marginal surfaces and the status of the area increase law. Here we continue and study the dynamics of the horizons during the merger, again for the head-on collision of two non-spinning black holes. In particular we follow the spectrum of the stability operator during the course of the merger for all the horizons present in the problem and implement systematic spectrum statistics for its analysis. We also study more physical aspects of the merger, namely the fluxes of energy which cross the horizon and cause the area to change. We construct a natural coordinate system on the horizon and decompose the various fields appearing in the flux, primarily the shear of the outgoing null normal, in spin weighted spherical harmonics. For each of the modes we extract the decay rates as the final black hole approaches equilibrium. The late part of the decay is consistent with the expected quasi-normal mode frequencies, while the early part displays a much steeper fall-off. Similarly, we calculate the decay of the horizon multipole moments, again finding two different regimes. Finally, seeking an explanation for this behavior, motivated by the membrane paradigm interpretation, we attempt to identify the different dynamical timescales of the area increase. This leads to the definition of a ``slowness parameter'' for predicting the onset of transition from a faster to a slower decay.
gr-qc/0610098
Palash Baran Pal
Jos\'e F. Nieves and Palash B. Pal
Comment on ``Can gravity distinguish between Dirac and Majorana neutrinos?''
1 page, Revtex, no figure
Phys.Rev.Lett.98:069001,2007
10.1103/PhysRevLett.98.069001
SINP/TNP/06-28
gr-qc
null
This is a comment on the paper gr-qc/0605153, by Singh, Mobed and Papini.
[ { "created": "Fri, 20 Oct 2006 05:06:14 GMT", "version": "v1" } ]
2008-11-26
[ [ "Nieves", "José F.", "" ], [ "Pal", "Palash B.", "" ] ]
This is a comment on the paper gr-qc/0605153, by Singh, Mobed and Papini.
gr-qc/0402023
D.V. Ahluwalia-Khalilova
D. V. Ahluwalia-Khalilova
Special relativity with two invariant scales: Motivation, Fermions, Bosons, Locality, and Critique
Int. J. Mod. Phys. D (in press). Extended version of a set of two informal lectures given in "La Sapienza" (Rome, May 2001)
Int.J.Mod.Phys.D13:335-346,2004
10.1142/S0218271804004633
CIU-002
gr-qc hep-th nucl-th
null
We present a Master equation for description of fermions and bosons for special relativities with two invariant scales, SR2, (c and lambda_P). We introduce canonically-conjugate variables (chi^0, chi) to (epsilon, pi) of Judes-Visser. Together, they bring in a formal element of linearity and locality in an otherwise non-linear and non-local theory. Special relativities with two invariant scales provide all corrections, say, to the standard model of the high energy physics, in terms of one fundamental constant, lambda_P. It is emphasized that spacetime of special relativities with two invariant scales carries an intrinsic quantum-gravitational character. In an addenda, we also comment on the physical importance of a phase factor that the whole literature on the subject has missed and present a brief critique of SR2. In addition, we remark that the most natural and physically viable SR2 shall require momentum-space and spacetime to be non-commutative with the non-commutativity determined by the spin content and C, P, and T properties of the examined representation space. Therefore, in a physically successful SR2, the notion of spacetime is expected to be deeply intertwined with specific properties of the test particle.
[ { "created": "Wed, 4 Feb 2004 18:57:41 GMT", "version": "v1" } ]
2008-11-26
[ [ "Ahluwalia-Khalilova", "D. V.", "" ] ]
We present a Master equation for description of fermions and bosons for special relativities with two invariant scales, SR2, (c and lambda_P). We introduce canonically-conjugate variables (chi^0, chi) to (epsilon, pi) of Judes-Visser. Together, they bring in a formal element of linearity and locality in an otherwise non-linear and non-local theory. Special relativities with two invariant scales provide all corrections, say, to the standard model of the high energy physics, in terms of one fundamental constant, lambda_P. It is emphasized that spacetime of special relativities with two invariant scales carries an intrinsic quantum-gravitational character. In an addenda, we also comment on the physical importance of a phase factor that the whole literature on the subject has missed and present a brief critique of SR2. In addition, we remark that the most natural and physically viable SR2 shall require momentum-space and spacetime to be non-commutative with the non-commutativity determined by the spin content and C, P, and T properties of the examined representation space. Therefore, in a physically successful SR2, the notion of spacetime is expected to be deeply intertwined with specific properties of the test particle.
1804.02842
Ion I. Cotaescu
Ion I. Cotaescu
Propagators of the Dirac fermions in de Sitter expanding universe
14 pages, no figures
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The propagators of the Dirac fermions are studied in the configuration representation on the expanding portion of the $(1+3)$-dimensional de Sitter spacetime considering a fixed vacuum of Bunch-Davies type. In this representation the method of Koksma and Prokopec [J. F. Koksma and T. Prokopec, Class. Quant. Grav. {\bf 26}, 125003 (2009)] is applied recovering thus the form of the propagators in the massive case but obtaining a new result for the left-handed massless fermions (neutrinos).
[ { "created": "Mon, 9 Apr 2018 06:49:25 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2018 15:03:50 GMT", "version": "v2" }, { "created": "Tue, 1 May 2018 06:33:15 GMT", "version": "v3" }, { "created": "Thu, 23 Aug 2018 12:55:24 GMT", "version": "v4" }, { "created": "Mon, 3 Sep 2018 17:57:19 GMT", "version": "v5" }, { "created": "Tue, 18 Sep 2018 13:11:49 GMT", "version": "v6" }, { "created": "Wed, 19 Sep 2018 17:00:29 GMT", "version": "v7" } ]
2018-09-20
[ [ "Cotaescu", "Ion I.", "" ] ]
The propagators of the Dirac fermions are studied in the configuration representation on the expanding portion of the $(1+3)$-dimensional de Sitter spacetime considering a fixed vacuum of Bunch-Davies type. In this representation the method of Koksma and Prokopec [J. F. Koksma and T. Prokopec, Class. Quant. Grav. {\bf 26}, 125003 (2009)] is applied recovering thus the form of the propagators in the massive case but obtaining a new result for the left-handed massless fermions (neutrinos).
2102.06433
Bahram Mashhoon
Bahram Mashhoon
Gravitomagnetic Stern--Gerlach Force
20 pages; v2: minor improvements; v3: references added; v4: references [47] and [62] updated
Entropy 23, 445 (2021)
10.3390/e23040445
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
A heuristic description of the spin-rotation-gravity coupling is presented and the implications of the corresponding gravitomagnetic Stern--Gerlach force are briefly mentioned. It is shown, within the framework of linearized general relativity, that the gravitomagnetic Stern--Gerlach force reduces in the appropriate correspondence limit to the classical Mathisson spin-curvature force.
[ { "created": "Fri, 12 Feb 2021 10:28:29 GMT", "version": "v1" }, { "created": "Sat, 27 Feb 2021 08:34:27 GMT", "version": "v2" }, { "created": "Sun, 21 Mar 2021 14:29:57 GMT", "version": "v3" }, { "created": "Fri, 9 Apr 2021 18:11:22 GMT", "version": "v4" } ]
2021-04-21
[ [ "Mashhoon", "Bahram", "" ] ]
A heuristic description of the spin-rotation-gravity coupling is presented and the implications of the corresponding gravitomagnetic Stern--Gerlach force are briefly mentioned. It is shown, within the framework of linearized general relativity, that the gravitomagnetic Stern--Gerlach force reduces in the appropriate correspondence limit to the classical Mathisson spin-curvature force.
1901.10285
Sebastian Szybka
Sebastian J. Szybka, Adam Cie\'slik
Standing waves in general relativity
9 pages
Phys. Rev. D 100, 064025 (2019)
10.1103/PhysRevD.100.064025
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a covariant definition of standing gravitational waves in general relativity.
[ { "created": "Tue, 29 Jan 2019 13:49:06 GMT", "version": "v1" }, { "created": "Thu, 26 Sep 2019 08:38:06 GMT", "version": "v2" } ]
2019-09-27
[ [ "Szybka", "Sebastian J.", "" ], [ "Cieślik", "Adam", "" ] ]
We propose a covariant definition of standing gravitational waves in general relativity.
1403.0371
Cosimo Bambi
Naoki Tsukamoto, Zilong Li, Cosimo Bambi
Constraining the spin and the deformation parameters from the black hole shadow
1+18 pages, 11 figures. v2: a few typos corrected
JCAP 1406:043,2014
10.1088/1475-7516/2014/06/043
null
gr-qc astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Within 5-10 years, very-long baseline interferometry (VLBI) facilities will be able to directly image the accretion flow around SgrA$^*$, the super-massive black hole candidate at the center of the Galaxy, and observe the black hole "shadow". In 4-dimensional general relativity, the no-hair theorem asserts that uncharged black holes are described by the Kerr solution and are completely specified by their mass $M$ and by their spin parameter $a$. In this paper, we explore the possibility of distinguishing Kerr and Bardeen black holes from their shadow. In Hioki & Maeda (2009), under the assumption that the background geometry is described by the Kerr solution, the authors proposed an algorithm to estimate the value of $a/M$ by measuring the distortion parameter $\delta$, an observable quantity that characterizes the shape of the shadow. Here, we try to extend their approach. Since the Hioki-Maeda distortion parameter is degenerate with respect to the spin and possible deviations from the Kerr solution, one has to measure another quantity to test the Kerr black hole hypothesis. We study a few possibilities. We find that it is extremely difficult to distinguish Kerr and Bardeen black holes from the sole observation of the shadow, and out of reach for the near future. The combination of the measurement of the shadow with possible accurate radio observations of a pulsar in a compact orbit around SgrA$^*$ could be a more promising strategy to verify the Kerr black hole paradigm.
[ { "created": "Mon, 3 Mar 2014 10:24:41 GMT", "version": "v1" }, { "created": "Wed, 18 Jun 2014 14:24:30 GMT", "version": "v2" } ]
2014-06-19
[ [ "Tsukamoto", "Naoki", "" ], [ "Li", "Zilong", "" ], [ "Bambi", "Cosimo", "" ] ]
Within 5-10 years, very-long baseline interferometry (VLBI) facilities will be able to directly image the accretion flow around SgrA$^*$, the super-massive black hole candidate at the center of the Galaxy, and observe the black hole "shadow". In 4-dimensional general relativity, the no-hair theorem asserts that uncharged black holes are described by the Kerr solution and are completely specified by their mass $M$ and by their spin parameter $a$. In this paper, we explore the possibility of distinguishing Kerr and Bardeen black holes from their shadow. In Hioki & Maeda (2009), under the assumption that the background geometry is described by the Kerr solution, the authors proposed an algorithm to estimate the value of $a/M$ by measuring the distortion parameter $\delta$, an observable quantity that characterizes the shape of the shadow. Here, we try to extend their approach. Since the Hioki-Maeda distortion parameter is degenerate with respect to the spin and possible deviations from the Kerr solution, one has to measure another quantity to test the Kerr black hole hypothesis. We study a few possibilities. We find that it is extremely difficult to distinguish Kerr and Bardeen black holes from the sole observation of the shadow, and out of reach for the near future. The combination of the measurement of the shadow with possible accurate radio observations of a pulsar in a compact orbit around SgrA$^*$ could be a more promising strategy to verify the Kerr black hole paradigm.
1107.5979
Mariano Cadoni
Mariano Cadoni, Salvatore Mignemi and Matteo Serra
Exact solutions with AdS asymptotics of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field
Some references added
null
10.1103/PhysRevD.84.084046
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar self-interaction potential. Using this method we prove a new no-hair theorem about the existence of hairy black-hole and black-brane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFTs. These solutions include: 1) four- or generic $(d+2)$-dimensional solutions with planar, spherical or hyperbolic horizon topology; 2) solutions with AdS, domain wall and Lifshitz asymptotics; 3) solutions interpolating between an AdS spacetime in the asymptotic region and a domain wall or conformal Lifshitz spacetime in the near-horizon region.
[ { "created": "Fri, 29 Jul 2011 14:17:28 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2011 14:16:35 GMT", "version": "v2" } ]
2013-05-29
[ [ "Cadoni", "Mariano", "" ], [ "Mignemi", "Salvatore", "" ], [ "Serra", "Matteo", "" ] ]
We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar self-interaction potential. Using this method we prove a new no-hair theorem about the existence of hairy black-hole and black-brane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFTs. These solutions include: 1) four- or generic $(d+2)$-dimensional solutions with planar, spherical or hyperbolic horizon topology; 2) solutions with AdS, domain wall and Lifshitz asymptotics; 3) solutions interpolating between an AdS spacetime in the asymptotic region and a domain wall or conformal Lifshitz spacetime in the near-horizon region.
1412.8470
Mark D. Roberts
Mark D. Roberts
Hybrid imploding scalar and ads spacetime
size increased from 3 pages to 10 pages
null
10.1016/j.physletb.2019.06.024
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed however not much can be said because of the contrasting properties of imploding scalar and deSitter spacetimes.
[ { "created": "Mon, 29 Dec 2014 14:51:28 GMT", "version": "v1" }, { "created": "Mon, 2 Feb 2015 15:32:59 GMT", "version": "v2" }, { "created": "Sat, 27 Jul 2019 15:01:24 GMT", "version": "v3" } ]
2019-07-30
[ [ "Roberts", "Mark D.", "" ] ]
A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed however not much can be said because of the contrasting properties of imploding scalar and deSitter spacetimes.
0710.0258
D\"orte Hansen
D\"orte Hansen
Next to leading order gravitational wave emission and dynamical evolution of compact binary systems with spin
typos corrected; version submitted to Class. Quant. Grav
Class.Quant.Grav.25:165011,2008
10.1088/0264-9381/25/16/165011
null
gr-qc
null
Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into account the orbital motion up to the first post-Newtonian approximation.
[ { "created": "Mon, 1 Oct 2007 10:19:32 GMT", "version": "v1" }, { "created": "Wed, 28 Nov 2007 17:00:45 GMT", "version": "v2" } ]
2008-11-26
[ [ "Hansen", "Dörte", "" ] ]
Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into account the orbital motion up to the first post-Newtonian approximation.
1611.01435
Wolfgang Muschik
Wolfgang Muschik
A modified Belinfante/Rosenfeld Procedure for Testing the Compatibility of General-Covariant Continuum Physics and General Relativity Theory
null
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Creating a modified Belinfante/Rosenfeld procedure, Mathisson-Papapetrou-like equations are derived by which a comparison of General-Covariant Continuum Physics with General Relativity Theory becomes possible.
[ { "created": "Fri, 4 Nov 2016 16:11:45 GMT", "version": "v1" } ]
2016-11-07
[ [ "Muschik", "Wolfgang", "" ] ]
Creating a modified Belinfante/Rosenfeld procedure, Mathisson-Papapetrou-like equations are derived by which a comparison of General-Covariant Continuum Physics with General Relativity Theory becomes possible.
1702.02314
Sergey Yu. Vernov
Alexander Yu. Kamenshchik, Ekaterina O. Pozdeeva, Sergey Yu. Vernov, Alessandro Tronconi, Giovanni Venturi
Bianchi-I cosmological model and crossing singularities
11 pages, v2: accepted for publication in Phys. Rev. D
Phys. Rev. D 95, 083503 (2017)
10.1103/PhysRevD.95.083503
null
gr-qc astro-ph.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a rather simple method for the description of the Big Bang - Big Crunch cosmological singularity crossing. For the flat Friedmann universe this method gives the same results as more complicated methods, using Weyl symmetry or the transitions between the Jordan and Einstein frames. It is then easily generalized for the case of a Bianchi-I anisotropic universe. We also present early-time and late-time asymptotic solutions for a Bianchi-I universe, filled with a conformally coupled massless scalar field.
[ { "created": "Wed, 8 Feb 2017 07:50:16 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2017 12:28:39 GMT", "version": "v2" } ]
2017-04-12
[ [ "Kamenshchik", "Alexander Yu.", "" ], [ "Pozdeeva", "Ekaterina O.", "" ], [ "Vernov", "Sergey Yu.", "" ], [ "Tronconi", "Alessandro", "" ], [ "Venturi", "Giovanni", "" ] ]
We consider a rather simple method for the description of the Big Bang - Big Crunch cosmological singularity crossing. For the flat Friedmann universe this method gives the same results as more complicated methods, using Weyl symmetry or the transitions between the Jordan and Einstein frames. It is then easily generalized for the case of a Bianchi-I anisotropic universe. We also present early-time and late-time asymptotic solutions for a Bianchi-I universe, filled with a conformally coupled massless scalar field.
1808.09099
Fabio Biancalana
Charles W. Robson, Leone Di Mauro Villari and Fabio Biancalana
Universal quantum Hawking evaporation of integrable two-dimensional solitons
null
null
10.1088/1367-2630/ab1bf5
null
gr-qc hep-th nlin.PS nlin.SI physics.optics quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that any soliton solution of an arbitrary two-dimensional integrable equation has the potential to eventually evaporate and emit the exact analogue of Hawking radiation from black holes. From the AKNS matrix formulation of integrability, we show that it is possible to associate a real spacetime metric tensor which defines a curved surface, perceived by the classical and quantum fluctuations propagating on the soliton. By defining proper scalar invariants of the associated Riemannian geometry, and introducing the conformal anomaly, we are able to determine the Hawking temperatures and entropies of the fundamental solitons of the nonlinear Schroedinger, KdV and sine-Gordon equations. The mechanism advanced here is simple, completely universal and can be applied to all integrable equations in two dimensions, and is easily applicable to a large class of black holes of any dimensionality, opening up totally new windows on the quantum mechanics of solitons and their deep connections with black hole physics.
[ { "created": "Mon, 27 Aug 2018 09:04:11 GMT", "version": "v1" } ]
2019-09-04
[ [ "Robson", "Charles W.", "" ], [ "Villari", "Leone Di Mauro", "" ], [ "Biancalana", "Fabio", "" ] ]
We show that any soliton solution of an arbitrary two-dimensional integrable equation has the potential to eventually evaporate and emit the exact analogue of Hawking radiation from black holes. From the AKNS matrix formulation of integrability, we show that it is possible to associate a real spacetime metric tensor which defines a curved surface, perceived by the classical and quantum fluctuations propagating on the soliton. By defining proper scalar invariants of the associated Riemannian geometry, and introducing the conformal anomaly, we are able to determine the Hawking temperatures and entropies of the fundamental solitons of the nonlinear Schroedinger, KdV and sine-Gordon equations. The mechanism advanced here is simple, completely universal and can be applied to all integrable equations in two dimensions, and is easily applicable to a large class of black holes of any dimensionality, opening up totally new windows on the quantum mechanics of solitons and their deep connections with black hole physics.
gr-qc/9307008
null
C.Barrabes, B.Boisseau and M.Sakellariadou
Gravitational Effects on Domain Walls with Curvature Correction
null
Phys.Rev. D49 (1994) 2734-2739
10.1103/PhysRevD.49.2734
null
gr-qc
null
We derive the effective action for a domain wall with small thickness in curved spacetime and show that, apart from the Nambu term, it includes a contribution proportional to the induced curvature. We then use this action to study the dynamics of a spherical thick bubble of false vacuum (de Sitter) surrounded by an infinite region of true vacuum (Schwarzschild).
[ { "created": "Fri, 9 Jul 1993 19:27:31 GMT", "version": "v1" } ]
2009-10-22
[ [ "Barrabes", "C.", "" ], [ "Boisseau", "B.", "" ], [ "Sakellariadou", "M.", "" ] ]
We derive the effective action for a domain wall with small thickness in curved spacetime and show that, apart from the Nambu term, it includes a contribution proportional to the induced curvature. We then use this action to study the dynamics of a spherical thick bubble of false vacuum (de Sitter) surrounded by an infinite region of true vacuum (Schwarzschild).
1402.6452
Lijing Shao
Lijing Shao
Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
minor modification; published in Physical Review Letters
Physical Review Letters 112 (2014) 111103
10.1103/PhysRevLett.112.111103
null
gr-qc astro-ph.HE hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Standard-model extension (SME) is an effective field theory introducing all possible Lorentz-violating (LV) operators to the standard model (SM) and general relativity (GR). In the pure-gravity sector of minimal SME (mSME), nine coefficients describe dominant observable deviations from GR. We systematically implemented twenty-seven tests from thirteen pulsar systems to tightly constrain eight linear combinations of these coefficients with extensive Monte Carlo simulations. It constitutes the first detailed and systematic test of the pure-gravity sector of mSME with the state-of-the-art pulsar observations. No deviation from GR was detected. The limits of LV coefficients are expressed in the canonical Sun-centered celestial-equatorial frame for convenience of further studies. They are all improved by significant factors of tens to hundreds with existing ones. As a consequence, Einstein's equivalence principle is verified substantially further by pulsar experiments in terms of local Lorentz invariance in gravity.
[ { "created": "Wed, 26 Feb 2014 08:36:36 GMT", "version": "v1" }, { "created": "Sun, 23 Mar 2014 01:46:29 GMT", "version": "v2" } ]
2014-03-25
[ [ "Shao", "Lijing", "" ] ]
Standard-model extension (SME) is an effective field theory introducing all possible Lorentz-violating (LV) operators to the standard model (SM) and general relativity (GR). In the pure-gravity sector of minimal SME (mSME), nine coefficients describe dominant observable deviations from GR. We systematically implemented twenty-seven tests from thirteen pulsar systems to tightly constrain eight linear combinations of these coefficients with extensive Monte Carlo simulations. It constitutes the first detailed and systematic test of the pure-gravity sector of mSME with the state-of-the-art pulsar observations. No deviation from GR was detected. The limits of LV coefficients are expressed in the canonical Sun-centered celestial-equatorial frame for convenience of further studies. They are all improved by significant factors of tens to hundreds with existing ones. As a consequence, Einstein's equivalence principle is verified substantially further by pulsar experiments in terms of local Lorentz invariance in gravity.
2105.07956
Carlos A. S. Almeida
R. Oliveira, D. M. Dantas, and C. A. S. Almeida
Quasinormal frequencies for a black hole in a bumblebee gravity
12 pages, 10 figures
null
10.1209/0295-5075/ac130c
null
gr-qc hep-th
http://creativecommons.org/licenses/by/4.0/
After recent observational events like the LIGO-Virgo detections of gravitational waves and the shadow image of M87* supermassive black hole by Event Horizon Telescope (EHT), the theoretical study of black holes was significantly improved. Quantities as quasinormal frequencies, shadows, and light deflection become more important to analyze black hole models. In this context, an interesting scenario to study is a black hole in the bumblebee gravity. The bumblebee vector field imposes a spontaneous symmetry breaking that allows the field to acquire a vacuum expectation value that generates Lorentz-Violating (LV) into the black hole. In order to compute the quasinormal modes (QNMs) via the WKB method, we obtain the Reege-Wheeler's equation with a bell-shaped potential for this black hole. Both QNMs, the scalar and tensorial modes, are computed for the black hole in the bumblebee scenario. Moreover, the stability of the Schwarzschild-like solution and some bounds to LV parameters are analyzed.
[ { "created": "Thu, 13 May 2021 23:14:19 GMT", "version": "v1" } ]
2021-09-22
[ [ "Oliveira", "R.", "" ], [ "Dantas", "D. M.", "" ], [ "Almeida", "C. A. S.", "" ] ]
After recent observational events like the LIGO-Virgo detections of gravitational waves and the shadow image of M87* supermassive black hole by Event Horizon Telescope (EHT), the theoretical study of black holes was significantly improved. Quantities as quasinormal frequencies, shadows, and light deflection become more important to analyze black hole models. In this context, an interesting scenario to study is a black hole in the bumblebee gravity. The bumblebee vector field imposes a spontaneous symmetry breaking that allows the field to acquire a vacuum expectation value that generates Lorentz-Violating (LV) into the black hole. In order to compute the quasinormal modes (QNMs) via the WKB method, we obtain the Reege-Wheeler's equation with a bell-shaped potential for this black hole. Both QNMs, the scalar and tensorial modes, are computed for the black hole in the bumblebee scenario. Moreover, the stability of the Schwarzschild-like solution and some bounds to LV parameters are analyzed.
1903.06951
Ian Vega
Karlo de Leon, Ian Vega
Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
11 pages, 3 figures
Phys. Rev. D 99, 124007 (2019)
10.1103/PhysRevD.99.124007
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the weak-field deflection of light by mass distributions described by two-power-law densities $\rho(R)=\rho_0 R^{-\alpha}(R+1)^{\beta-\alpha}$, where $\alpha$ and $\beta$ are non-negative integers. New analytic expressions of deflection angles are obtained via the application of the Gauss-Bonnet theorem to a chosen surface on the optical manifold. Some of the well-known models of this two-power law form are the Navarro-Frenk-White (NFW) model $(\alpha,\beta)=(1,3)$, Hernquist $(1,4)$, Jaffe $(2,4)$, and the singular isothermal sphere $(2,2)$. The calculated deflection angles for Hernquist and NFW agrees with that of Keeton and Bartelmann, respectively. The limiting values of these deflection angles (at zero or infinite impact parameter) are either vanishing or similar to the deflection due to a singular isothermal sphere. We show that these behaviors can be attributed to the topological properties of the optical manifold, thus extending the pioneering insight of Werner and Gibbons to a broader class of mass densities.
[ { "created": "Sat, 16 Mar 2019 16:07:18 GMT", "version": "v1" } ]
2019-06-19
[ [ "de Leon", "Karlo", "" ], [ "Vega", "Ian", "" ] ]
We study the weak-field deflection of light by mass distributions described by two-power-law densities $\rho(R)=\rho_0 R^{-\alpha}(R+1)^{\beta-\alpha}$, where $\alpha$ and $\beta$ are non-negative integers. New analytic expressions of deflection angles are obtained via the application of the Gauss-Bonnet theorem to a chosen surface on the optical manifold. Some of the well-known models of this two-power law form are the Navarro-Frenk-White (NFW) model $(\alpha,\beta)=(1,3)$, Hernquist $(1,4)$, Jaffe $(2,4)$, and the singular isothermal sphere $(2,2)$. The calculated deflection angles for Hernquist and NFW agrees with that of Keeton and Bartelmann, respectively. The limiting values of these deflection angles (at zero or infinite impact parameter) are either vanishing or similar to the deflection due to a singular isothermal sphere. We show that these behaviors can be attributed to the topological properties of the optical manifold, thus extending the pioneering insight of Werner and Gibbons to a broader class of mass densities.
2004.15002
Romain Ruzziconi
Glenn Barnich, Pujian Mao, Romain Ruzziconi
Conserved currents in the Palatini formulation of general relativity
12 Pages
PoS (CORFU2019) 171
10.22323/1.376.0171
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to those of the metric formulation. When compared to other first order formulations, two subtleties have to be addressed during the construction: off-shell non-metricity and the fact that the transformation of the connection under infinitesimal diffeomorphisms involves second order derivatives of the associated vector fields.
[ { "created": "Thu, 30 Apr 2020 17:48:21 GMT", "version": "v1" } ]
2020-08-21
[ [ "Barnich", "Glenn", "" ], [ "Mao", "Pujian", "" ], [ "Ruzziconi", "Romain", "" ] ]
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to those of the metric formulation. When compared to other first order formulations, two subtleties have to be addressed during the construction: off-shell non-metricity and the fact that the transformation of the connection under infinitesimal diffeomorphisms involves second order derivatives of the associated vector fields.
0804.3840
Kouji Nakamura
Kouji Nakamura
Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory
(v1) 76 pages, no figure; (v2) minor revision, typos are corrected, references are added; (v3) Title is changed, Compactified into 55 pages, Comment on the comparison with the other work is added; (v4)typos are corrected
Phys.Rev.D80:124021,2009
10.1103/PhysRevD.80.124021
null
gr-qc astro-ph hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in the papers [K.Nakamura, Prog.Theor.Phys., 117 (2007), 17.]. We derive the formulae for the perturbations of the energy momentum tensors and equations of motion for a perfect fluid, an imperfect fluid, and a signle scalar field, and show that all equations are derived in terms of gauge-invariant variables without any gauge fixing.
[ { "created": "Thu, 24 Apr 2008 05:27:31 GMT", "version": "v1" }, { "created": "Wed, 30 Jul 2008 06:51:49 GMT", "version": "v2" }, { "created": "Wed, 31 Dec 2008 06:48:10 GMT", "version": "v3" }, { "created": "Sat, 3 Jan 2009 05:50:35 GMT", "version": "v4" } ]
2009-12-30
[ [ "Nakamura", "Kouji", "" ] ]
Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in the papers [K.Nakamura, Prog.Theor.Phys., 117 (2007), 17.]. We derive the formulae for the perturbations of the energy momentum tensors and equations of motion for a perfect fluid, an imperfect fluid, and a signle scalar field, and show that all equations are derived in terms of gauge-invariant variables without any gauge fixing.
1310.1963
Emil Mottola
Paul R. Anderson (Wake Forest Univ.) and Emil Mottola (Los Alamos National Laboratory)
Quantum Vacuum Instability of 'Eternal' de Sitter Space
47 pages, 11 figures
Phys. Rev. D 89, 104039 (2014)
10.1103/PhysRevD.89.104039
LA-UR-13-26990
gr-qc astro-ph.CO hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Euclidean or Bunch-Davies O(4,1) invariant 'vacuum' state of quantum fields in global de Sitter space is shown to be unstable to small perturbations, even for a massive free field with no self-interactions. There are perturbations of this state with arbitrarily small energy density at early times that is exponentially blueshifted in the contracting phase of 'eternal' de Sitter space, and becomes large enough to disturb the classical geometry through the semiclassical Einstein eqs. at later times. In the closely analogous case of a constant, uniform electric field, a time symmetric state equivalent to the de Sitter invariant one is constructed, which is also not a stable vacuum state under perturbations. The role of a quantum anomaly in the growth of perturbations and symmetry breaking is emphasized in both cases. In de Sitter space, the same results are obtained either directly from the renormalized stress tensor of a massive scalar field, or for massless conformal fields of any spin, more directly from the effective action and stress tensor associated with the conformal trace anomaly. The anomaly stress tensor shows that states invariant under the O(4) subgroup of the de Sitter group are also unstable to perturbations of lower spatial symmetry, implying that both the O(4,1) isometry group and its O(4) subgroup are broken by quantum fluctuations. Consequences of this result for cosmology and the problem of vacuum energy are discussed.
[ { "created": "Mon, 7 Oct 2013 22:05:35 GMT", "version": "v1" } ]
2014-05-28
[ [ "Anderson", "Paul R.", "", "Wake Forest Univ." ], [ "Mottola", "Emil", "", "Los Alamos\n National Laboratory" ] ]
The Euclidean or Bunch-Davies O(4,1) invariant 'vacuum' state of quantum fields in global de Sitter space is shown to be unstable to small perturbations, even for a massive free field with no self-interactions. There are perturbations of this state with arbitrarily small energy density at early times that is exponentially blueshifted in the contracting phase of 'eternal' de Sitter space, and becomes large enough to disturb the classical geometry through the semiclassical Einstein eqs. at later times. In the closely analogous case of a constant, uniform electric field, a time symmetric state equivalent to the de Sitter invariant one is constructed, which is also not a stable vacuum state under perturbations. The role of a quantum anomaly in the growth of perturbations and symmetry breaking is emphasized in both cases. In de Sitter space, the same results are obtained either directly from the renormalized stress tensor of a massive scalar field, or for massless conformal fields of any spin, more directly from the effective action and stress tensor associated with the conformal trace anomaly. The anomaly stress tensor shows that states invariant under the O(4) subgroup of the de Sitter group are also unstable to perturbations of lower spatial symmetry, implying that both the O(4,1) isometry group and its O(4) subgroup are broken by quantum fluctuations. Consequences of this result for cosmology and the problem of vacuum energy are discussed.
1309.4836
Yusuke Sakakibara
Y. Sakakibara, N. Kimura, T. Suzuki, K. Yamamoto, D. Chen, S. Koike, C. Tokoku, T. Uchiyama, M. Ohashi and K. Kuroda
A Study of Cooling Time Reduction of Interferometric Cryogenic Gravitational Wave Detectors Using a High-Emissivity Coating
8 pages, 9 figures, Proceedings of CEC/ICMC 2013
null
10.1063/1.4860839
null
gr-qc astro-ph.IM physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In interferometric cryogenic gravitational wave detectors, there are plans to cool mirrors and their suspension systems (payloads) in order to reduce thermal noise, that is, one of the fundamental noise sources. Because of the large payload masses (several hundred kg in total) and their thermal isolation, a cooling time of several months is required. Our calculation shows that a high-emissivity coating (e.g. a diamond-like carbon (DLC) coating) can reduce the cooling time effectively by enhancing radiation heat transfer. Here, we have experimentally verified the effect of the DLC coating on the reduction of the cooling time.
[ { "created": "Thu, 19 Sep 2013 02:12:48 GMT", "version": "v1" } ]
2014-03-05
[ [ "Sakakibara", "Y.", "" ], [ "Kimura", "N.", "" ], [ "Suzuki", "T.", "" ], [ "Yamamoto", "K.", "" ], [ "Chen", "D.", "" ], [ "Koike", "S.", "" ], [ "Tokoku", "C.", "" ], [ "Uchiyama", "T.", "" ], [ "Ohashi", "M.", "" ], [ "Kuroda", "K.", "" ] ]
In interferometric cryogenic gravitational wave detectors, there are plans to cool mirrors and their suspension systems (payloads) in order to reduce thermal noise, that is, one of the fundamental noise sources. Because of the large payload masses (several hundred kg in total) and their thermal isolation, a cooling time of several months is required. Our calculation shows that a high-emissivity coating (e.g. a diamond-like carbon (DLC) coating) can reduce the cooling time effectively by enhancing radiation heat transfer. Here, we have experimentally verified the effect of the DLC coating on the reduction of the cooling time.
2002.00437
Maxim Eingorn
Ezgi Canay, Maxim Eingorn
Duel of cosmological screening lengths
17 pages, one nice figure
Physics of the Dark Universe 29, 100565 (2020)
10.1016/j.dark.2020.100565
null
gr-qc astro-ph.CO hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the $\Lambda$CDM Universe. In this paper we compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe.
[ { "created": "Sun, 2 Feb 2020 17:47:00 GMT", "version": "v1" } ]
2020-04-30
[ [ "Canay", "Ezgi", "" ], [ "Eingorn", "Maxim", "" ] ]
Two distinct perturbative approaches have been recently formulated within General Relativity, arguing for the screening of gravity in the $\Lambda$CDM Universe. In this paper we compare them and show that the offered screening concepts, each characterized by its own interaction range, can peacefully coexist. Accordingly, we advance a united scheme, determining the gravitational potential at all scales, including regions of nonlinear density contrasts, by means of a simple Helmholtz equation with the effective cosmological screening length. In addition, we claim that cosmic structures may not grow at distances above this Yukawa range and confront its current value with dimensions of the largest known objects in the Universe.
1703.03295
Swagat Saurav Mishra
Swagat S. Mishra, Varun Sahni and Yuri Shtanov
Sourcing Dark Matter and Dark Energy from $\alpha$-attractors
43 pages, 22 figures, Some clarifications and an additional reference. Main results unchanged. Accepted for publication in JCAP
JCAP 06 (2017) 045
10.1088/1475-7516/2017/06/045
null
gr-qc astro-ph.CO hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, Kallosh and Linde have drawn attention to a new family of superconformal inflationary potentials, subsequently called $\alpha$-attractors. The $\alpha$-attractor family can interpolate between a large class of inflationary models. It also has an important theoretical underpinning within the framework of supergravity. We demonstrate that the $\alpha$-attractors have an even wider appeal since they may describe dark matter and perhaps even dark energy. The dark matter associated with the $\alpha$-attractors, which we call $\alpha$-dark matter ($\alpha$DM), shares many of the attractive features of fuzzy dark matter, with $V(\varphi) = \frac{1}{2}m^2\varphi^2$, while having none of its drawbacks. Like fuzzy dark matter, $\alpha$DM can have a large Jeans length which could resolve the cusp-core and substructure problems faced by standard cold dark matter. $\alpha$DM also has an appealing tracker property which enables it to converge to the late-time dark matter asymptote, $\langle w\rangle \simeq 0$, from a wide range of initial conditions. It thus avoids the enormous fine-tuning problems faced by the $m^2\varphi^2$ potential in describing dark matter.
[ { "created": "Tue, 7 Mar 2017 19:00:59 GMT", "version": "v1" }, { "created": "Thu, 16 Mar 2017 05:05:12 GMT", "version": "v2" }, { "created": "Fri, 16 Jun 2017 06:32:51 GMT", "version": "v3" } ]
2018-10-26
[ [ "Mishra", "Swagat S.", "" ], [ "Sahni", "Varun", "" ], [ "Shtanov", "Yuri", "" ] ]
Recently, Kallosh and Linde have drawn attention to a new family of superconformal inflationary potentials, subsequently called $\alpha$-attractors. The $\alpha$-attractor family can interpolate between a large class of inflationary models. It also has an important theoretical underpinning within the framework of supergravity. We demonstrate that the $\alpha$-attractors have an even wider appeal since they may describe dark matter and perhaps even dark energy. The dark matter associated with the $\alpha$-attractors, which we call $\alpha$-dark matter ($\alpha$DM), shares many of the attractive features of fuzzy dark matter, with $V(\varphi) = \frac{1}{2}m^2\varphi^2$, while having none of its drawbacks. Like fuzzy dark matter, $\alpha$DM can have a large Jeans length which could resolve the cusp-core and substructure problems faced by standard cold dark matter. $\alpha$DM also has an appealing tracker property which enables it to converge to the late-time dark matter asymptote, $\langle w\rangle \simeq 0$, from a wide range of initial conditions. It thus avoids the enormous fine-tuning problems faced by the $m^2\varphi^2$ potential in describing dark matter.
gr-qc/9504004
Ted Jacobson
Ted Jacobson
Thermodynamics of Spacetime: The Einstein Equation of State
8 pages, 1 figure. Revised version has core unchanged but paper rewritten and expanded to clarify the reasoning and to emphasize some points. One figure added
Phys.Rev.Lett.75:1260-1263,1995
10.1103/PhysRevLett.75.1260
UMDGR-95-114
gr-qc hep-th
null
The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with $\delta Q$ and $T$ interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air.
[ { "created": "Tue, 4 Apr 1995 18:54:14 GMT", "version": "v1" }, { "created": "Tue, 6 Jun 1995 17:47:58 GMT", "version": "v2" } ]
2010-11-01
[ [ "Jacobson", "Ted", "" ] ]
The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with $\delta Q$ and $T$ interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air.
0910.0335
Vladimir S. Manko
V.S. Manko and E. Ruiz
Schwarzschild black hole levitating in the hyperextreme Kerr field
6 pages, 1 figure; improved version
Gen. Rel. Grav. 44: 2891-2899, 2012
10.1007/s10714-012-1429-1
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and corresponding metric functions, we provide a physical representation which employs as arbitrary parameters the individual Komar masses and relative coordinate distance between the sources. The calculation of horizon's local angular velocity induced in the Schwarzschild black hole by the Kerr constituent yields a simple expression inversely proportional to the square of the distance parameter.
[ { "created": "Fri, 2 Oct 2009 07:04:38 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 2015 06:33:06 GMT", "version": "v2" } ]
2015-11-06
[ [ "Manko", "V. S.", "" ], [ "Ruiz", "E.", "" ] ]
The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and corresponding metric functions, we provide a physical representation which employs as arbitrary parameters the individual Komar masses and relative coordinate distance between the sources. The calculation of horizon's local angular velocity induced in the Schwarzschild black hole by the Kerr constituent yields a simple expression inversely proportional to the square of the distance parameter.
1706.07482
Abhay Ashtekar
Abhay Ashtekar
Implications of a positive cosmological constant for general relativity
A Key Issues Review, Commissioned by Rep. Prog. Phys. 12 pages, 3 figures
Rep. Prog. Phys. 80, 102901 (2017)
10.1088/1361-6633/aa7bb1
null
gr-qc hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Most of the literature on general relativity over the last century assumes that the cosmological constant $\Lambda$ is zero. However, by now independent observations have led to a consensus that the dynamics of the universe is best described by Einstein's equations with a small but positive $\Lambda$. Interestingly, this requires a drastic revision of conceptual frameworks commonly used in general relativity, \emph{no matter how small $\Lambda$ is.} We first explain why, and then summarize the current status of generalizations of these frameworks to include a positive $\Lambda$, focusing on gravitational waves.
[ { "created": "Thu, 22 Jun 2017 20:37:33 GMT", "version": "v1" } ]
2021-04-02
[ [ "Ashtekar", "Abhay", "" ] ]
Most of the literature on general relativity over the last century assumes that the cosmological constant $\Lambda$ is zero. However, by now independent observations have led to a consensus that the dynamics of the universe is best described by Einstein's equations with a small but positive $\Lambda$. Interestingly, this requires a drastic revision of conceptual frameworks commonly used in general relativity, \emph{no matter how small $\Lambda$ is.} We first explain why, and then summarize the current status of generalizations of these frameworks to include a positive $\Lambda$, focusing on gravitational waves.
gr-qc/9506031
Marcelo Jose Reboucas
J. Santos, M.J. Reboucas, A.F.F. Teixeira
Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories
22 pages, To appear in J. Math. Phys 36 (1995)
J.Math.Phys. 36 (1995) 3074-3084
10.1063/1.531013
CBPF-NF-052/94
gr-qc astro-ph
null
An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are $[1,1111]$, [2111], [311], [z,\bar{z},111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also studied.
[ { "created": "Sat, 17 Jun 1995 01:51:15 GMT", "version": "v1" } ]
2015-06-25
[ [ "Santos", "J.", "" ], [ "Reboucas", "M. J.", "" ], [ "Teixeira", "A. F. F.", "" ] ]
An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are $[1,1111]$, [2111], [311], [z,\bar{z},111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also studied.
gr-qc/9909088
Iver H. Brevik
I. Brevik and A. G. Fr{\o}seth
Energy Production in the Formation of a Finite Thickness Cosmic String
20 pages, LaTeX, no figures
Phys.Rev.D61:085011,2000
10.1103/PhysRevD.61.085011
null
gr-qc
null
The classical electromagnetic modes outside a long, straight, superconducting cosmic string are calculated, assuming the string to be surrounded by a superconducting cylindric surface of radius R. Thereafter, by use of a Bogoliubov-type argument, the electromagnetic energy W produced per unit length in the lowest two modes is calculated when the string is formed "suddenly". The essential new element in the present analysis as compared with prior work of Parker [Phys. Rev. Lett. {\bf 59}, 1369 (1987)] and Brevik and Toverud [Phys. Rev. D {\bf 51}, 691 (1995)], is that the radius {\it a} of the string is assumed finite, thus necessitating Neumann functions to be included in the fundamental modes. We find that the theory is changed significantly: W is now strongly concentrated in the lowest mode $(m,s)=(0,1)$, whereas the proportionality $W \propto (G\mu /t)^2$ that is characteristic for zero-width strings is found in the next mode (1,1). Here G is the gravitational constant, $\mu$ the string mass per unit length, and t the GUT time.
[ { "created": "Wed, 29 Sep 1999 15:32:45 GMT", "version": "v1" } ]
2009-01-14
[ [ "Brevik", "I.", "" ], [ "Frøseth", "A. G.", "" ] ]
The classical electromagnetic modes outside a long, straight, superconducting cosmic string are calculated, assuming the string to be surrounded by a superconducting cylindric surface of radius R. Thereafter, by use of a Bogoliubov-type argument, the electromagnetic energy W produced per unit length in the lowest two modes is calculated when the string is formed "suddenly". The essential new element in the present analysis as compared with prior work of Parker [Phys. Rev. Lett. {\bf 59}, 1369 (1987)] and Brevik and Toverud [Phys. Rev. D {\bf 51}, 691 (1995)], is that the radius {\it a} of the string is assumed finite, thus necessitating Neumann functions to be included in the fundamental modes. We find that the theory is changed significantly: W is now strongly concentrated in the lowest mode $(m,s)=(0,1)$, whereas the proportionality $W \propto (G\mu /t)^2$ that is characteristic for zero-width strings is found in the next mode (1,1). Here G is the gravitational constant, $\mu$ the string mass per unit length, and t the GUT time.
2303.06239
Chengcheng Liu
Chengcheng Liu, Shahn Majid
Quantum Kaluza-Klein theory with $M_2(\mathbb{C})$
null
JHEP 09 (2023) 102
10.1007/JHEP09(2023)102
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on $C^\infty(M)\otimes M_2(\mathbb{C})$ in terms of classical Riemannian geometry on a smooth manifold $M$, a finite quantum geometry on the algebra $M_2(\mathbb{C})$ of $2\times 2$ matrices, and a quantum metric cross term. Fixing a standard form of quantum metric on $M_2(\mathbb{C})$, we show that this cross term data amounts in the simplest case to a 1-form $A_\mu$ on $M$, which we regard as like a gauge-fixed background field. We show in this case that a real scalar field on the product algebra with its noncommutative Laplacian decomposes on $M$ into two real neutral fields and one complex charged field minimally coupled to $A_\mu$. We show further that the quantum Ricci scalar on the product decomposes into a classical Ricci scalar on $M$, the Ricci scalar on $M_2(\mathbb{C})$, the Maxwell action $||F||^2$ of $A$ and a higher order $||A.F||^2$ term. Another solution of the QRG on the product has $A=0$ and a dynamical real scalar field $\phi$ on $M$ which imparts mass-splitting to some of the components of a scalar field on the product as in previous work.
[ { "created": "Fri, 10 Mar 2023 23:09:22 GMT", "version": "v1" } ]
2023-11-03
[ [ "Liu", "Chengcheng", "" ], [ "Majid", "Shahn", "" ] ]
Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on $C^\infty(M)\otimes M_2(\mathbb{C})$ in terms of classical Riemannian geometry on a smooth manifold $M$, a finite quantum geometry on the algebra $M_2(\mathbb{C})$ of $2\times 2$ matrices, and a quantum metric cross term. Fixing a standard form of quantum metric on $M_2(\mathbb{C})$, we show that this cross term data amounts in the simplest case to a 1-form $A_\mu$ on $M$, which we regard as like a gauge-fixed background field. We show in this case that a real scalar field on the product algebra with its noncommutative Laplacian decomposes on $M$ into two real neutral fields and one complex charged field minimally coupled to $A_\mu$. We show further that the quantum Ricci scalar on the product decomposes into a classical Ricci scalar on $M$, the Ricci scalar on $M_2(\mathbb{C})$, the Maxwell action $||F||^2$ of $A$ and a higher order $||A.F||^2$ term. Another solution of the QRG on the product has $A=0$ and a dynamical real scalar field $\phi$ on $M$ which imparts mass-splitting to some of the components of a scalar field on the product as in previous work.
1005.3722
George Gillies
Alvin J. Sanders and George T. Gillies
Precise Gravitational Tests via the SEE Mission: A Proposal for Space-Based Measurements
Presented at the 2004 Pescara Meeting on Tests of the Equivalence Principle
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The objective of a SEE mission is to support development of unification theory by carrying out sensitive gravitational tests capable of determining whether various alternative theories are compatible with nature. Gravitation is a key "missing link" in unification theory. Nearly all unification theories incorporate gravity at a fundamental level, and therefore precise measurements of gravitational forces will place important constraints on unification theories. Ground-based gravitational measurements to the accuracy required are impossible due to the many sources of noise present in the terrestrial environment. The proposed space-based Satellite Energy Exchange (SEE) mission will measure several important parameters to an accuracy between 100 and 10,000 times better than current or planned measurement capabilities. It will test for time variation of the gravitational "constant" G and for violations of the weak equivalence principle (WEP) and the inverse-square-law (ISL), and it will determine G. It is well-known that the discovery of breakdowns in WEP or ISL and the possible determination of a time-varying G would have significant consequences on virtually all aspects of unification theory.
[ { "created": "Thu, 20 May 2010 14:53:58 GMT", "version": "v1" } ]
2010-05-21
[ [ "Sanders", "Alvin J.", "" ], [ "Gillies", "George T.", "" ] ]
The objective of a SEE mission is to support development of unification theory by carrying out sensitive gravitational tests capable of determining whether various alternative theories are compatible with nature. Gravitation is a key "missing link" in unification theory. Nearly all unification theories incorporate gravity at a fundamental level, and therefore precise measurements of gravitational forces will place important constraints on unification theories. Ground-based gravitational measurements to the accuracy required are impossible due to the many sources of noise present in the terrestrial environment. The proposed space-based Satellite Energy Exchange (SEE) mission will measure several important parameters to an accuracy between 100 and 10,000 times better than current or planned measurement capabilities. It will test for time variation of the gravitational "constant" G and for violations of the weak equivalence principle (WEP) and the inverse-square-law (ISL), and it will determine G. It is well-known that the discovery of breakdowns in WEP or ISL and the possible determination of a time-varying G would have significant consequences on virtually all aspects of unification theory.
0901.4629
Ujjal Debnath
Surajit Chattopadhyay and Ujjal Debnath
Tachyonic field interacting with Scalar (Phantom) Field
7 LateX pages, 16 figures, RevTeX style
Braz.J.Phys.39:86-91,2009
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this letter, we have considered the universe is filled with the mixture of tachyonic field and scalar or phantom field. If the tachyonic field interacts with scalar or phantom field, the interaction term decays with time and the energy for scalar field is transferred to tachyonic field or the energy for phantom field is transferred to tachyonic field. The tachyonic field and scalar field potentials always decrease, but phantom field potential always increases.
[ { "created": "Thu, 29 Jan 2009 09:33:08 GMT", "version": "v1" } ]
2009-04-24
[ [ "Chattopadhyay", "Surajit", "" ], [ "Debnath", "Ujjal", "" ] ]
In this letter, we have considered the universe is filled with the mixture of tachyonic field and scalar or phantom field. If the tachyonic field interacts with scalar or phantom field, the interaction term decays with time and the energy for scalar field is transferred to tachyonic field or the energy for phantom field is transferred to tachyonic field. The tachyonic field and scalar field potentials always decrease, but phantom field potential always increases.
gr-qc/0203085
Harald P. Pfeiffer
Harald P. Pfeiffer, Gregory B. Cook, Saul A. Teukolsky
Comparing initial-data sets for binary black holes
18 pages, 12 figures, accepted for publication in Phys. Rev. D
Phys.Rev. D66 (2002) 024047
10.1103/PhysRevD.66.024047
null
gr-qc
null
We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two Kerr-Schild black holes to fix the freely specifiable data. We find that these initial-data sets differ significantly, with the ADM energy varying by as much as 5% of the total mass. We find that all initial-data sets currently used for evolutions might contain unphysical gravitational radiation of the order of several percent of the total mass. This is comparable to the amount of gravitational-wave energy observed during the evolved collision. More astrophysically realistic initial data will require more careful choices of the freely specifiable data and boundary conditions for both the metric and extrinsic curvature. However, we find that the choice of extrinsic curvature affects the resulting data sets more strongly than the choice of conformal metric.
[ { "created": "Mon, 25 Mar 2002 21:35:36 GMT", "version": "v1" }, { "created": "Sat, 22 Jun 2002 21:41:26 GMT", "version": "v2" } ]
2009-11-07
[ [ "Pfeiffer", "Harald P.", "" ], [ "Cook", "Gregory B.", "" ], [ "Teukolsky", "Saul A.", "" ] ]
We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two Kerr-Schild black holes to fix the freely specifiable data. We find that these initial-data sets differ significantly, with the ADM energy varying by as much as 5% of the total mass. We find that all initial-data sets currently used for evolutions might contain unphysical gravitational radiation of the order of several percent of the total mass. This is comparable to the amount of gravitational-wave energy observed during the evolved collision. More astrophysically realistic initial data will require more careful choices of the freely specifiable data and boundary conditions for both the metric and extrinsic curvature. However, we find that the choice of extrinsic curvature affects the resulting data sets more strongly than the choice of conformal metric.
1704.08570
Jiri Podolsky
Jiri Podolsky, Robert Svarc, Roland Steinbauer, Clemens S\"amann
Penrose junction conditions extended: impulsive waves with gyratons
15 pages, 2 figures
Phys. Rev. D 96, 064043 (2017)
10.1103/PhysRevD.96.064043
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We generalize the classical junction conditions for constructing impulsive gravitational waves by the Penrose "cut and paste" method. Specifically, we study nonexpanding impulses which propagate in spaces of constant curvature with any value of the cosmological constant (that is Minkowski, de Sitter, or anti-de Sitter universes) when additional off-diagonal metric components are present. Such components encode a possible angular momentum of the ultra-relativistic source of the impulsive wave - the so called gyraton. We explicitly derive and analyze a specific transformation that relates the distributional form of the metric to a new form which is (Lipschitz) continuous. Such a transformation automatically implies an extended version of the Penrose junction conditions. It turns out that the conditions for identifying points of the background spacetime across the impulse are the same as in the original Penrose "cut and paste" construction, but their derivatives now directly represent the influence of the gyraton on the axial motion of test particles. Our results apply both for vacuum and nonvacuum solutions of Einstein's field equations, and can also be extended to other theories of gravity.
[ { "created": "Thu, 27 Apr 2017 13:47:46 GMT", "version": "v1" } ]
2017-10-04
[ [ "Podolsky", "Jiri", "" ], [ "Svarc", "Robert", "" ], [ "Steinbauer", "Roland", "" ], [ "Sämann", "Clemens", "" ] ]
We generalize the classical junction conditions for constructing impulsive gravitational waves by the Penrose "cut and paste" method. Specifically, we study nonexpanding impulses which propagate in spaces of constant curvature with any value of the cosmological constant (that is Minkowski, de Sitter, or anti-de Sitter universes) when additional off-diagonal metric components are present. Such components encode a possible angular momentum of the ultra-relativistic source of the impulsive wave - the so called gyraton. We explicitly derive and analyze a specific transformation that relates the distributional form of the metric to a new form which is (Lipschitz) continuous. Such a transformation automatically implies an extended version of the Penrose junction conditions. It turns out that the conditions for identifying points of the background spacetime across the impulse are the same as in the original Penrose "cut and paste" construction, but their derivatives now directly represent the influence of the gyraton on the axial motion of test particles. Our results apply both for vacuum and nonvacuum solutions of Einstein's field equations, and can also be extended to other theories of gravity.
gr-qc/0504043
Leonardo Modesto
Leonardo Modesto
Quantum Gravitational Collapse
13 pages, LaTeX
null
null
null
gr-qc
null
We apply the recent results in Loop Quantum Cosmology and in the resolution of Black Hole singularity to the gravitational collapse of a star. We study the dynamic of the space time in the interior of the Schwarzschild radius. In particular in our simple model we obtain the evolution of the matter inside the star and of the gravity outside the region where the matter is present. The boundary condition identify an unique time inside and outside the region where the matter is present. We consider a star during the collapse in the particular case in which inside the collapsing star we take null pressure, homogeneity and isotropy. The space-time outside the matter is homogeneous and anisotropic. We show that the space time is singularity free and that we can extend dynamically the space-time beyond the classical singularity.
[ { "created": "Sun, 10 Apr 2005 12:36:18 GMT", "version": "v1" } ]
2007-05-23
[ [ "Modesto", "Leonardo", "" ] ]
We apply the recent results in Loop Quantum Cosmology and in the resolution of Black Hole singularity to the gravitational collapse of a star. We study the dynamic of the space time in the interior of the Schwarzschild radius. In particular in our simple model we obtain the evolution of the matter inside the star and of the gravity outside the region where the matter is present. The boundary condition identify an unique time inside and outside the region where the matter is present. We consider a star during the collapse in the particular case in which inside the collapsing star we take null pressure, homogeneity and isotropy. The space-time outside the matter is homogeneous and anisotropic. We show that the space time is singularity free and that we can extend dynamically the space-time beyond the classical singularity.
1102.0907
Dana Levanony
Dana Levanony and Amos Ori
Extended time-travelling objects in Misner space
accepted for publication in Physical Review D
Phys.Rev.D83:044043,2011
10.1103/PhysRevD.83.044043
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Misner space is a two-dimensional (2D) locally-flat spacetime which elegantly demonstrates the emergence of closed timelike curves from causally well-behaved initial conditions. Here we explore the motion of rigid extended objects in this time-machine spacetime. This kind of 2D time-travel is found to be risky due to inevitable self-collisions (i.e. collisions of the object with itself). However, in a straightforward four-dimensional generalization of Misner space (a physically more relevant spacetime obviously), we find a wide range of "safe" time-travel orbits free of any self-collisions.
[ { "created": "Fri, 4 Feb 2011 13:25:49 GMT", "version": "v1" } ]
2011-03-23
[ [ "Levanony", "Dana", "" ], [ "Ori", "Amos", "" ] ]
Misner space is a two-dimensional (2D) locally-flat spacetime which elegantly demonstrates the emergence of closed timelike curves from causally well-behaved initial conditions. Here we explore the motion of rigid extended objects in this time-machine spacetime. This kind of 2D time-travel is found to be risky due to inevitable self-collisions (i.e. collisions of the object with itself). However, in a straightforward four-dimensional generalization of Misner space (a physically more relevant spacetime obviously), we find a wide range of "safe" time-travel orbits free of any self-collisions.
0811.4055
Wolf-Dieter Reinhard Stein
W.-D. R. Stein
An Alternative to Kaluza
4 pages
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In Kaluza derived theories the electromagnetic potential is interpreted as a part of the metric in a higher dimensional theory of gravity. Here we present a more Yang-Mills like unification of classical electromagnetism and gravity within five dimensions, where the electromagnetic potential is related to the connecion and the field strength to the curvature. In addition some aspects of a quantum theory can be described in the context of the Gauss-Bonnet-Chern Theorem. This approach offers new coupling mechanisms between gravity and electromagnetism.
[ { "created": "Tue, 25 Nov 2008 11:13:41 GMT", "version": "v1" }, { "created": "Thu, 4 Dec 2008 10:59:37 GMT", "version": "v2" } ]
2008-12-04
[ [ "Stein", "W. -D. R.", "" ] ]
In Kaluza derived theories the electromagnetic potential is interpreted as a part of the metric in a higher dimensional theory of gravity. Here we present a more Yang-Mills like unification of classical electromagnetism and gravity within five dimensions, where the electromagnetic potential is related to the connecion and the field strength to the curvature. In addition some aspects of a quantum theory can be described in the context of the Gauss-Bonnet-Chern Theorem. This approach offers new coupling mechanisms between gravity and electromagnetism.
2106.04870
Malik Al Matwi
Malik Matwi
Spin current in BF theory
23 pages, accepted for publication on Physics
Physics 2021, 3(2), 427-448
10.3390/physics3020029
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
In this paper, we introduce a current which we call spin current corresponding to the variation of the matter action in BF theory with respect to the spin connection $A$ which takes values in Lie algebra $\mathfrak{so}(3,\mathbb{C})$ in self-dual formalism. For keeping the constraint $DB^i=0$ satisfied, we suggest adding a new term to the BF Lagrangian using a new field $\psi^i$ which can be used for calculating the spin current. We derive the equations of motion and discuss the solutions. We will see that the solutions of that equations do not require a specific metric on the manifold $M$, we just need to know the symmetry of the system and the information about the spin current. Finally we find the solutions in a spherical and cylindrical symmetric systems.
[ { "created": "Wed, 9 Jun 2021 07:52:23 GMT", "version": "v1" }, { "created": "Thu, 1 Jul 2021 13:36:57 GMT", "version": "v2" } ]
2021-07-02
[ [ "Matwi", "Malik", "" ] ]
In this paper, we introduce a current which we call spin current corresponding to the variation of the matter action in BF theory with respect to the spin connection $A$ which takes values in Lie algebra $\mathfrak{so}(3,\mathbb{C})$ in self-dual formalism. For keeping the constraint $DB^i=0$ satisfied, we suggest adding a new term to the BF Lagrangian using a new field $\psi^i$ which can be used for calculating the spin current. We derive the equations of motion and discuss the solutions. We will see that the solutions of that equations do not require a specific metric on the manifold $M$, we just need to know the symmetry of the system and the information about the spin current. Finally we find the solutions in a spherical and cylindrical symmetric systems.
1607.04962
Daniel Litim
Kevin Falls, Daniel F. Litim, Kostas Nikolakopoulos, and Christoph Rahmede
On de Sitter solutions in asymptotically safe $f(R)$ theories
27 pages, 11 figures, 3 tables. v2: explanations added, to appear with CQG
null
10.1088/1361-6382/aac440
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt $f(R)$-type models of quantum gravity which display an interacting ultraviolet fixed point at shortest distances. Expanding the gravitational fixed point action to very high order in the curvature scalar, we detect a convergence-limiting singularity in the complex field plane. Resummation techniques including Pad\'e approximants as well as infinite order approximations of the effective action are used to maximise the domain of validity. We find that the theory displays near de Sitter solutions as well as an anti-de Sitter solution in the UV whereas real de Sitter solutions, for small curvature, appear to be absent. The significance of our results for inflation, and implications for more general models of quantum gravity are discussed.
[ { "created": "Mon, 18 Jul 2016 07:32:41 GMT", "version": "v1" }, { "created": "Tue, 15 May 2018 10:28:21 GMT", "version": "v2" } ]
2018-05-16
[ [ "Falls", "Kevin", "" ], [ "Litim", "Daniel F.", "" ], [ "Nikolakopoulos", "Kostas", "" ], [ "Rahmede", "Christoph", "" ] ]
The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt $f(R)$-type models of quantum gravity which display an interacting ultraviolet fixed point at shortest distances. Expanding the gravitational fixed point action to very high order in the curvature scalar, we detect a convergence-limiting singularity in the complex field plane. Resummation techniques including Pad\'e approximants as well as infinite order approximations of the effective action are used to maximise the domain of validity. We find that the theory displays near de Sitter solutions as well as an anti-de Sitter solution in the UV whereas real de Sitter solutions, for small curvature, appear to be absent. The significance of our results for inflation, and implications for more general models of quantum gravity are discussed.
1905.10087
Vladimir S. Manko
V.S. Manko, E. Ruiz, M.B. Sadovnikova
Binary systems of recoiling extreme Kerr black holes
12 pages, 7 figures
null
10.1016/j.physletb.2019.07.011
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the present paper the repulsion of two extreme Kerr black holes arising from their spin-spin interaction is analyzed within the framework of special subfamilies of the well-known Kinnersley-Chitre solution. The binary configurations of both equal and nonequal extreme repelling black holes are considered.
[ { "created": "Fri, 24 May 2019 08:30:31 GMT", "version": "v1" } ]
2019-09-04
[ [ "Manko", "V. S.", "" ], [ "Ruiz", "E.", "" ], [ "Sadovnikova", "M. B.", "" ] ]
In the present paper the repulsion of two extreme Kerr black holes arising from their spin-spin interaction is analyzed within the framework of special subfamilies of the well-known Kinnersley-Chitre solution. The binary configurations of both equal and nonequal extreme repelling black holes are considered.
1701.00017
Y. Jack Ng
Y. Jack Ng
Quantum Foam, Gravitational Thermodynamics, and the Dark Sector
13 pages, 6 figures, to appear in the Proceedings of IARD 2016 (in Journal of Physics: Conference Series), for a short version of this article, see "Holographic theory of gravity and cosmology" (arXiv:1610.06236)
null
10.1088/1742-6596/845/1/012001
null
gr-qc astro-ph.CO hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use two simple independent gedankan experiments to show that the holographic principle can be understood intuitively as having its origin in the quantum fluctuations of spacetime. Applied to cosmology, this consideration leads to a dynamical cosmological constant of the observed magnitude, a result that can also be obtained for the present and recent cosmic eras by using unimodular gravity and causal set theory. Next we generalize the concept of gravitational thermodynamics to a spacetime with positive cosmological constant (like ours) to reveal the natural emergence, in galactic dynamics, of a critical acceleration parameter related to the cosmological constant. We are then led to construct a phenomenological model of dark matter which we call "modified dark matter" (MDM) in which the dark matter density profile depends on both the cosmological constant and ordinary matter. We provide observational tests of MDM by fitting the rotation curves to a sample of 30 local spiral galaxies with a single free parameter and by showing that the dynamical and observed masses agree in a sample of 93 galactic clusters. We also give a brief discussion of the possibility that quanta of both dark energy and dark matter are non-local, obeying quantum Boltzmann statistics (also called infinite statistics) as described by a curious average of the bosonic and fermionic algebras. If such a scenario is correct, we can expect some novel particle phenomenology involving dark matter interactions. This may explain why so far no dark matter detection experiments have been able to claim convincingly to have detected dark matter.
[ { "created": "Fri, 30 Dec 2016 21:27:32 GMT", "version": "v1" } ]
2017-06-28
[ [ "Ng", "Y. Jack", "" ] ]
We use two simple independent gedankan experiments to show that the holographic principle can be understood intuitively as having its origin in the quantum fluctuations of spacetime. Applied to cosmology, this consideration leads to a dynamical cosmological constant of the observed magnitude, a result that can also be obtained for the present and recent cosmic eras by using unimodular gravity and causal set theory. Next we generalize the concept of gravitational thermodynamics to a spacetime with positive cosmological constant (like ours) to reveal the natural emergence, in galactic dynamics, of a critical acceleration parameter related to the cosmological constant. We are then led to construct a phenomenological model of dark matter which we call "modified dark matter" (MDM) in which the dark matter density profile depends on both the cosmological constant and ordinary matter. We provide observational tests of MDM by fitting the rotation curves to a sample of 30 local spiral galaxies with a single free parameter and by showing that the dynamical and observed masses agree in a sample of 93 galactic clusters. We also give a brief discussion of the possibility that quanta of both dark energy and dark matter are non-local, obeying quantum Boltzmann statistics (also called infinite statistics) as described by a curious average of the bosonic and fermionic algebras. If such a scenario is correct, we can expect some novel particle phenomenology involving dark matter interactions. This may explain why so far no dark matter detection experiments have been able to claim convincingly to have detected dark matter.
gr-qc/0310044
Theodore A. Jacobson
Christopher Eling and Ted Jacobson
Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
13 pages; v.2: minor editing, signs corrected, version to appear in PRD; v. 3: signs corrected in eqn (3)
Phys.Rev. D69 (2004) 064005
10.1103/PhysRevD.69.064005
null
gr-qc astro-ph hep-th
null
A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two post-Newtonian parameters known as the Eddington-Robertson-Schiff parameters are found to be identical to those in the case of pure GR, except for some non-generic values of the coefficients in the Lagrangian.
[ { "created": "Tue, 7 Oct 2003 16:19:16 GMT", "version": "v1" }, { "created": "Wed, 21 Jan 2004 15:34:19 GMT", "version": "v2" }, { "created": "Sat, 28 Feb 2004 16:26:39 GMT", "version": "v3" } ]
2009-11-10
[ [ "Eling", "Christopher", "" ], [ "Jacobson", "Ted", "" ] ]
A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two post-Newtonian parameters known as the Eddington-Robertson-Schiff parameters are found to be identical to those in the case of pure GR, except for some non-generic values of the coefficients in the Lagrangian.
gr-qc/0507063
Francisco Lobo
Francisco S. N. Lobo, Paulo Crawford
Stability analysis of dynamic thin shells
19 pages, 11 figures, LaTeX2e, IOP style files. V2: Comments and references added. This version to appear in Classical and Quantum Gravity
Class.Quant.Grav. 22 (2005) 4869-4886
10.1088/0264-9381/22/22/012
null
gr-qc astro-ph hep-th
null
We analyze the stability of generic spherically symmetric thin shells to linearized perturbations around static solutions. We include the momentum flux term in the conservation identity, deduced from the ''ADM'' constraint and the Lanczos equations. Following the Ishak-Lake analysis, we deduce a master equation which dictates the stable equilibrium configurations. Considering the transparency condition, we study the stability of thin shells around black holes, showing that our analysis is in agreement with previous results. Applying the analysis to traversable wormhole geometries, by considering specific choices for the form function, we deduce stability regions, and find that the latter may be significantly increased by considering appropriate choices for the redshift function.
[ { "created": "Thu, 14 Jul 2005 16:27:16 GMT", "version": "v1" }, { "created": "Thu, 6 Oct 2005 22:16:38 GMT", "version": "v2" } ]
2009-11-11
[ [ "Lobo", "Francisco S. N.", "" ], [ "Crawford", "Paulo", "" ] ]
We analyze the stability of generic spherically symmetric thin shells to linearized perturbations around static solutions. We include the momentum flux term in the conservation identity, deduced from the ''ADM'' constraint and the Lanczos equations. Following the Ishak-Lake analysis, we deduce a master equation which dictates the stable equilibrium configurations. Considering the transparency condition, we study the stability of thin shells around black holes, showing that our analysis is in agreement with previous results. Applying the analysis to traversable wormhole geometries, by considering specific choices for the form function, we deduce stability regions, and find that the latter may be significantly increased by considering appropriate choices for the redshift function.
1706.00431
Robert R. Caldwell
R. R. Caldwell, C. Devulder, N. A. Maksimova
Gravitational Wave -- Gauge Field Dynamics
Awarded Fifth Prize in 2017 Gravity Research Foundation Essay Contest
null
10.1142/S0218271817420056
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear combination of gravitational waves and gauge field excitations, leading to the phenomenon of gravitational wave -- gauge field oscillations. These surprising results provide insight into gravitational phenomena and may suggest new approaches to a theory of quantum gravity.
[ { "created": "Thu, 1 Jun 2017 18:00:02 GMT", "version": "v1" } ]
2017-11-22
[ [ "Caldwell", "R. R.", "" ], [ "Devulder", "C.", "" ], [ "Maksimova", "N. A.", "" ] ]
The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear combination of gravitational waves and gauge field excitations, leading to the phenomenon of gravitational wave -- gauge field oscillations. These surprising results provide insight into gravitational phenomena and may suggest new approaches to a theory of quantum gravity.
2205.04773
Aditya Sharma
Aditya Sharma, Kinjal Banerjee, Jishnu Bhattacharyya
de Sitterization via Kerr-Schild
Publication details updated. Results are unchanged
2022, Physical Review D
10.1103/PhysRevD.106.063518
Vol. 106, No.6
gr-qc hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least locally). In this work, we propose an alternate way to characterize this phenomena. We focus on a subset of such models admitting a generalized Kerr-Schild representation. We argue that the functions which define such a representation can be chosen, such that, their asymptotic behavior make the evolution towards the de Sitter spacetime manifest through the representation. We verify our claim for the Kantowski-Sachs family of cosmological spacetimes.
[ { "created": "Tue, 10 May 2022 09:51:08 GMT", "version": "v1" }, { "created": "Mon, 19 Sep 2022 06:43:14 GMT", "version": "v2" } ]
2022-09-20
[ [ "Sharma", "Aditya", "" ], [ "Banerjee", "Kinjal", "" ], [ "Bhattacharyya", "Jishnu", "" ] ]
Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least locally). In this work, we propose an alternate way to characterize this phenomena. We focus on a subset of such models admitting a generalized Kerr-Schild representation. We argue that the functions which define such a representation can be chosen, such that, their asymptotic behavior make the evolution towards the de Sitter spacetime manifest through the representation. We verify our claim for the Kantowski-Sachs family of cosmological spacetimes.
1412.4761
Stephen Green
Alex Buchel, Stephen R. Green, Luis Lehner, Steven L. Liebling
Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime
9 pages, 2 figures; V2: minor updates; V3: updates to match version accepted for publication
Phys. Rev. D 91, 064026 (2015)
10.1103/PhysRevD.91.064026
null
gr-qc hep-th nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the dynamics of a spherically symmetric massless scalar field coupled to general relativity in Anti--de Sitter spacetime in the small-amplitude limit. Within the context of our previously developed two time framework (TTF) to study the leading self-gravitating effects, we demonstrate the existence of two new conserved quantities in addition to the known total energy $E$ of the modes: The particle number $N$ and Hamiltonian $H$ of our TTF system. Simultaneous conservation of $E$ and $N$ implies that weak turbulent processes undergo dual cascades (direct cascade of $E$ and inverse cascade of $N$ or vice versa). This partially explains the observed dynamics of 2-mode initial data. In addition, conservation of $E$ and $N$ limits the region of phase space that can be explored within the TTF approximation and in particular rules out equipartion of energy among the modes for general initial data. Finally, we discuss possible effects of conservation of $N$ and $E$ on late time dynamics.
[ { "created": "Mon, 15 Dec 2014 20:54:34 GMT", "version": "v1" }, { "created": "Fri, 26 Dec 2014 21:49:41 GMT", "version": "v2" }, { "created": "Tue, 17 Feb 2015 16:26:19 GMT", "version": "v3" } ]
2015-03-18
[ [ "Buchel", "Alex", "" ], [ "Green", "Stephen R.", "" ], [ "Lehner", "Luis", "" ], [ "Liebling", "Steven L.", "" ] ]
We consider the dynamics of a spherically symmetric massless scalar field coupled to general relativity in Anti--de Sitter spacetime in the small-amplitude limit. Within the context of our previously developed two time framework (TTF) to study the leading self-gravitating effects, we demonstrate the existence of two new conserved quantities in addition to the known total energy $E$ of the modes: The particle number $N$ and Hamiltonian $H$ of our TTF system. Simultaneous conservation of $E$ and $N$ implies that weak turbulent processes undergo dual cascades (direct cascade of $E$ and inverse cascade of $N$ or vice versa). This partially explains the observed dynamics of 2-mode initial data. In addition, conservation of $E$ and $N$ limits the region of phase space that can be explored within the TTF approximation and in particular rules out equipartion of energy among the modes for general initial data. Finally, we discuss possible effects of conservation of $N$ and $E$ on late time dynamics.
0907.3838
Yousef Bisabr
Yousef Bisabr
Solar System Constraints on a Cosmologically Viable $f(R)$ Theory
10 pages, no figure, Accepted for publication in Physics Letters B
Phys.Lett.B683:96-100,2010
10.1016/j.physletb.2009.11.062
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, a model $f(R)$ theory is proposed \cite{recent} which is cosmologically viable and distinguishable from $\Lambda$CDM. We use chameleon mechanism to investigate viability of the model in terms of Solar System experiments.
[ { "created": "Wed, 22 Jul 2009 13:15:12 GMT", "version": "v1" }, { "created": "Wed, 2 Dec 2009 16:46:45 GMT", "version": "v2" } ]
2010-01-15
[ [ "Bisabr", "Yousef", "" ] ]
Recently, a model $f(R)$ theory is proposed \cite{recent} which is cosmologically viable and distinguishable from $\Lambda$CDM. We use chameleon mechanism to investigate viability of the model in terms of Solar System experiments.
gr-qc/9712046
Spiros Cotsakis
S. Cotsakis (Department of Mathematics, University of the Aegean)
Mathematical problems in higher order gravity and cosmology
3 pages, LaTeX, talk presented at the Eighth Marcel Grossmann Meeting, Jerousalem, June 22--27, 1997
null
null
null
gr-qc
null
We discuss the issue of motivating the analysis of higher order gravity theories and their cosmologies and introduce a rule which states that these theories may be considered as a vehicle for testing whether certain properties may be of relevance to quantum theory. We discuss the physicality issue arising as a consequence of the conformal transformation theorem, the question of formulating a consistent first order formalism of such theories and also the isotropization problem for a class of generalized cosmologies. We point out that this field may have an important role to play in clarifying issues arising also in general relativity.
[ { "created": "Wed, 10 Dec 1997 14:46:34 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cotsakis", "S.", "", "Department of Mathematics, University of the Aegean" ] ]
We discuss the issue of motivating the analysis of higher order gravity theories and their cosmologies and introduce a rule which states that these theories may be considered as a vehicle for testing whether certain properties may be of relevance to quantum theory. We discuss the physicality issue arising as a consequence of the conformal transformation theorem, the question of formulating a consistent first order formalism of such theories and also the isotropization problem for a class of generalized cosmologies. We point out that this field may have an important role to play in clarifying issues arising also in general relativity.
1610.03400
Yong Cai
Yong Cai, Youping Wan, Hai-Guang Li, Taotao Qiu, and Yun-Song Piao
The Effective Field Theory of nonsingular cosmology
21 pages, 2 figures, published in JHEP
JHEP01(2017)090
10.1007/JHEP01(2017)090
null
gr-qc astro-ph.CO hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we explore the nonsingular cosmology within the framework of the Effective Field Theory(EFT) of cosmological perturbations. Due to the recently proved no-go theorem, any nonsingular cosmological models based on the cubic Galileon suffer from pathologies. We show how the EFT could help us clarify the origin of the no-go theorem, and offer us solutions to break the no-go. Particularly, we point out that the gradient instability can be removed by using some spatial derivative operators in EFT. Based on the EFT description, we obtain a realistic healthy nonsingular cosmological model, and show the perturbation spectrum can be consistent with the observations.
[ { "created": "Tue, 11 Oct 2016 15:50:49 GMT", "version": "v1" }, { "created": "Mon, 17 Oct 2016 13:32:23 GMT", "version": "v2" }, { "created": "Sun, 22 Jan 2017 14:30:03 GMT", "version": "v3" } ]
2017-01-24
[ [ "Cai", "Yong", "" ], [ "Wan", "Youping", "" ], [ "Li", "Hai-Guang", "" ], [ "Qiu", "Taotao", "" ], [ "Piao", "Yun-Song", "" ] ]
In this paper, we explore the nonsingular cosmology within the framework of the Effective Field Theory(EFT) of cosmological perturbations. Due to the recently proved no-go theorem, any nonsingular cosmological models based on the cubic Galileon suffer from pathologies. We show how the EFT could help us clarify the origin of the no-go theorem, and offer us solutions to break the no-go. Particularly, we point out that the gradient instability can be removed by using some spatial derivative operators in EFT. Based on the EFT description, we obtain a realistic healthy nonsingular cosmological model, and show the perturbation spectrum can be consistent with the observations.
1006.4439
Shahar Hod
Shahar Hod
Relaxation dynamics of charged gravitational collapse
5 pages
Phys.Lett.A374:2901,2010
10.1016/j.physleta.2010.05.052
null
gr-qc astro-ph.HE hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study analytically the relaxation dynamics of charged test fields left outside a newly born charged black hole. In particular, we obtain a simple analytic expression for the fundamental quasinormal resonances of near-extremal Reissner-Nordstr\"om black holes. The formula is expressed in terms of the black-hole physical parameters: $\omega=q\Phi-i2\pi T_{BH}(n+{1 \over 2})$, where $T_{BH}$ and $\Phi$ are the temperature and electric potential of the black hole, and $q$ is the charge of the field.
[ { "created": "Wed, 23 Jun 2010 07:48:53 GMT", "version": "v1" } ]
2011-04-07
[ [ "Hod", "Shahar", "" ] ]
We study analytically the relaxation dynamics of charged test fields left outside a newly born charged black hole. In particular, we obtain a simple analytic expression for the fundamental quasinormal resonances of near-extremal Reissner-Nordstr\"om black holes. The formula is expressed in terms of the black-hole physical parameters: $\omega=q\Phi-i2\pi T_{BH}(n+{1 \over 2})$, where $T_{BH}$ and $\Phi$ are the temperature and electric potential of the black hole, and $q$ is the charge of the field.
1404.4491
Rabin Banerjee
Rabin Banerjee, Arpita Mitra, Pradip Mukherjee
A new formulation of non-relativistic diffeomorphism invariance
minor changes, new reference added, to appear in PLB
null
10.1016/j.physletb.2014.09.004
null
gr-qc cond-mat.other hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a new formulation of nonrelativistic diffeomorphism invariance. It is generated by localising the usual global Galilean Symmetry. The correspondence with the type of diffeomorphism invariant models currently in vogue in the theory of fractional quantum Hall effect has been discussed. Our construction is shown to open up a general approach of model building in theoretical condensed matter physics. Also, this formulation has the capacity of obtaining Newton - Cartan geometry from the gauge procedure.
[ { "created": "Thu, 17 Apr 2014 11:18:52 GMT", "version": "v1" }, { "created": "Wed, 3 Sep 2014 07:23:17 GMT", "version": "v2" }, { "created": "Thu, 4 Sep 2014 09:56:51 GMT", "version": "v3" } ]
2015-06-19
[ [ "Banerjee", "Rabin", "" ], [ "Mitra", "Arpita", "" ], [ "Mukherjee", "Pradip", "" ] ]
We provide a new formulation of nonrelativistic diffeomorphism invariance. It is generated by localising the usual global Galilean Symmetry. The correspondence with the type of diffeomorphism invariant models currently in vogue in the theory of fractional quantum Hall effect has been discussed. Our construction is shown to open up a general approach of model building in theoretical condensed matter physics. Also, this formulation has the capacity of obtaining Newton - Cartan geometry from the gauge procedure.
gr-qc/9905054
Kleidis Kostas
K. Kleidis, H. Varvoglis and D. B. Papadopoulos
Parametric resonant acceleration of particles by gravitational waves
LaTeX file, 16 pages
Class.Quant.Grav. 13 (1996) 2547-2562
10.1088/0264-9381/13/9/018
null
gr-qc
null
We study the resonant interaction of charged particles with a gravitational wave propagating in the non-empty interstellar space in the presence of a uniform magnetic field. It is found that this interaction can be cast in the form of a parametric resonance problem which, besides the main resonance, allows for the existence of many secondary ones. Each of them is associated with a non-zero resonant width, depending on the amplitude of the wave and the energy density of the interstellar plasma. Numerical estimates of the particles' energisation and the ensuing damping of the wave are given.
[ { "created": "Mon, 17 May 1999 08:03:55 GMT", "version": "v1" } ]
2009-10-31
[ [ "Kleidis", "K.", "" ], [ "Varvoglis", "H.", "" ], [ "Papadopoulos", "D. B.", "" ] ]
We study the resonant interaction of charged particles with a gravitational wave propagating in the non-empty interstellar space in the presence of a uniform magnetic field. It is found that this interaction can be cast in the form of a parametric resonance problem which, besides the main resonance, allows for the existence of many secondary ones. Each of them is associated with a non-zero resonant width, depending on the amplitude of the wave and the energy density of the interstellar plasma. Numerical estimates of the particles' energisation and the ensuing damping of the wave are given.
gr-qc/9903029
Ion Cotaescu
Ion I. Cot\u{a}escu (The West University of Timi\c{s}oara, Romania)
Comment on the quantum modes of the scalar field on AdS_{d+1} spacetime
8 pages, Latex
null
null
null
gr-qc
null
The problem of the quantum modes of the scalar free field on anti-de Sitter backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of the nonrelativistic oscillator and two parameters which give the energy quanta and respectively the ground state energy. This last one is known to be just the conformal dimension of the boundary field theory of the AdS/CFT conjecture.
[ { "created": "Mon, 8 Mar 1999 13:33:10 GMT", "version": "v1" } ]
2007-05-23
[ [ "Cotăescu", "Ion I.", "", "The West University of Timişoara, Romania" ] ]
The problem of the quantum modes of the scalar free field on anti-de Sitter backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of the nonrelativistic oscillator and two parameters which give the energy quanta and respectively the ground state energy. This last one is known to be just the conformal dimension of the boundary field theory of the AdS/CFT conjecture.
1907.10059
Shammi Tahura
Shammi Tahura, Kent Yagi, Zack Carson
Testing Gravity with Gravitational Waves from Binary Black Hole Mergers: Contributions from Amplitude Corrections
v2: The third author has been added, which was accidentally missed in the first submission; v3: matches the published version
Phys. Rev. D 100, 104001 (2019)
10.1103/PhysRevD.100.104001
null
gr-qc astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the amplitude, many tests of gravity with gravitational waves have been carried out using only the former. Such studies cannot probe the non-Einsteinian effects that may enter only in the amplitude. Besides, if not accommodated in the waveform template, a non-Einsteinian effect in the amplitude may induce systematic errors on other parameters such as the luminosity distance. In this paper, we derive constraints on a few modified theories of gravity (Einstein-dilaton-Gauss-Bonnet gravity, scalar-tensor theories, and varying-$G$ theories), incorporating both phase and amplitude corrections. We follow the model-independent approach of the parametrized post-Einsteinian formalism. We perform Fisher analyses with Monte-Carlo simulations using the LIGO/Virgo posterior samples. We find that the contributions from amplitude corrections can be comparable to the ones from the phase corrections in case of massive binaries like GW150914. Also, constraints derived by incorporating both phase and amplitude corrections differ from the ones with phase corrections only by 4% at most, which supports many of the previous studies that only considered corrections in the phase. We further derive reliable constraints on the time-evolution of a scalar field in a scalar-tensor theory for the first time with gravitational waves.
[ { "created": "Tue, 23 Jul 2019 16:28:53 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2019 16:17:39 GMT", "version": "v2" }, { "created": "Sun, 29 Dec 2019 22:40:54 GMT", "version": "v3" } ]
2020-01-01
[ [ "Tahura", "Shammi", "" ], [ "Yagi", "Kent", "" ], [ "Carson", "Zack", "" ] ]
The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the amplitude, many tests of gravity with gravitational waves have been carried out using only the former. Such studies cannot probe the non-Einsteinian effects that may enter only in the amplitude. Besides, if not accommodated in the waveform template, a non-Einsteinian effect in the amplitude may induce systematic errors on other parameters such as the luminosity distance. In this paper, we derive constraints on a few modified theories of gravity (Einstein-dilaton-Gauss-Bonnet gravity, scalar-tensor theories, and varying-$G$ theories), incorporating both phase and amplitude corrections. We follow the model-independent approach of the parametrized post-Einsteinian formalism. We perform Fisher analyses with Monte-Carlo simulations using the LIGO/Virgo posterior samples. We find that the contributions from amplitude corrections can be comparable to the ones from the phase corrections in case of massive binaries like GW150914. Also, constraints derived by incorporating both phase and amplitude corrections differ from the ones with phase corrections only by 4% at most, which supports many of the previous studies that only considered corrections in the phase. We further derive reliable constraints on the time-evolution of a scalar field in a scalar-tensor theory for the first time with gravitational waves.
1605.08420
Avneet Singh
Avneet Singh
Gravitational wave transient signal emission via Ekman pumping in neutron stars during post-glitch relaxation phase
24 pages, 11 figures; v1: initial submission; v2: internal review; v3: journal review; v4: copyedited version; v5-6: minor typos corrected and references updated; v7 (final): corrections in metadata
Phys. Rev. D 95, 024022 (2017)
10.1103/PhysRevD.95.024022
LIGO Document LIGO-P1600091
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Glitches in the rotational frequency of a spinning neutron star could be promising sources of gravitational wave signals lasting between a few microseconds to a few weeks. The emitted signals and their properties depend upon the internal properties of the neutron star. In neutron stars, the most important physical properties of the fluid core are the viscosity of the fluid, the stratification of flow in the equilibrium state and the adiabatic sound speed. Such models were previously studied by van Eysden and Melatos [73] and Bennett et al. [26] following simple assumptions on all contributing factors, in which the post-glitch relaxation phase could be driven by the well-known process of Ekman pumping [76, 17]. We explore the hydrodynamic properties of the flow of fluid during this phase following more relaxed assumptions on the stratification of flow and the pressure-density gradients within the neutron star than previously studied. We calculate the time-scales of duration as well as the amplitudes of the resulting gravitational wave signals, and we detail their dependence on the physical properties of the fluid core. We find that it is possible for the neutron star to emit gravitational wave signals in a wide range of decay time-scales and within the detection sensitivity of aLIGO for selected domains of physical parameters.
[ { "created": "Thu, 26 May 2016 19:27:59 GMT", "version": "v1" }, { "created": "Sun, 29 May 2016 20:43:10 GMT", "version": "v2" }, { "created": "Mon, 5 Sep 2016 13:00:48 GMT", "version": "v3" }, { "created": "Wed, 21 Dec 2016 12:47:00 GMT", "version": "v4" }, { "created": "Tue, 19 Sep 2017 13:44:33 GMT", "version": "v5" }, { "created": "Sun, 8 Oct 2017 22:47:27 GMT", "version": "v6" }, { "created": "Tue, 10 Oct 2017 00:47:31 GMT", "version": "v7" } ]
2017-10-11
[ [ "Singh", "Avneet", "" ] ]
Glitches in the rotational frequency of a spinning neutron star could be promising sources of gravitational wave signals lasting between a few microseconds to a few weeks. The emitted signals and their properties depend upon the internal properties of the neutron star. In neutron stars, the most important physical properties of the fluid core are the viscosity of the fluid, the stratification of flow in the equilibrium state and the adiabatic sound speed. Such models were previously studied by van Eysden and Melatos [73] and Bennett et al. [26] following simple assumptions on all contributing factors, in which the post-glitch relaxation phase could be driven by the well-known process of Ekman pumping [76, 17]. We explore the hydrodynamic properties of the flow of fluid during this phase following more relaxed assumptions on the stratification of flow and the pressure-density gradients within the neutron star than previously studied. We calculate the time-scales of duration as well as the amplitudes of the resulting gravitational wave signals, and we detail their dependence on the physical properties of the fluid core. We find that it is possible for the neutron star to emit gravitational wave signals in a wide range of decay time-scales and within the detection sensitivity of aLIGO for selected domains of physical parameters.
1607.07312
Krzysztof A. Meissner
Krzysztof A. Meissner and Hermann Nicolai
Conformal Anomalies and Gravitational Waves
4 pages
null
10.1016/j.physletb.2017.06.031
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We argue that the presence of conformal anomalies in gravitational theories can lead to observable modifications to Einstein's equations via the induced anomalous effective actions, whose non-localities can overwhelm the smallness of the Planck scale. The fact that no such effects have been seen in recent cosmological or gravitational wave observations therefore imposes strong restrictions on the field content of possible extensions of Einstein's theory: all viable theories should have vanishing conformal anomalies. We then show that a complete cancellation of conformal anomalies in D=4 for both the $C^2$ invariant and the Euler (Gauss-Bonnet) invariant can only be achieved for N-extended supergravities with $N \geq 5$, as well as for M theory compactified to four dimensions.
[ { "created": "Mon, 25 Jul 2016 15:18:06 GMT", "version": "v1" }, { "created": "Sun, 28 Aug 2016 16:12:31 GMT", "version": "v2" } ]
2017-06-21
[ [ "Meissner", "Krzysztof A.", "" ], [ "Nicolai", "Hermann", "" ] ]
We argue that the presence of conformal anomalies in gravitational theories can lead to observable modifications to Einstein's equations via the induced anomalous effective actions, whose non-localities can overwhelm the smallness of the Planck scale. The fact that no such effects have been seen in recent cosmological or gravitational wave observations therefore imposes strong restrictions on the field content of possible extensions of Einstein's theory: all viable theories should have vanishing conformal anomalies. We then show that a complete cancellation of conformal anomalies in D=4 for both the $C^2$ invariant and the Euler (Gauss-Bonnet) invariant can only be achieved for N-extended supergravities with $N \geq 5$, as well as for M theory compactified to four dimensions.
gr-qc/9404008
Paulo Rodrigues Lima Vargas Moniz
A.D.Y. Cheng, P.D. D'Eath and P.R.L.V. Moniz
Quantization of the Bianchi type-IX model in supergravity with a cosmological constant
17 pages report DAMTP R93/35
Phys.Rev. D49 (1994) 5246-5251
10.1103/PhysRevD.49.5246
null
gr-qc
null
Diagonal Bianchi type-IX models are studied in the quantum theory of $ N = 1 $ supergravity with a cosmological constant. It is shown, by imposing the supersymmetry and Lorentz quantum constraints, that there are no physical quantum states in this model. The $ k = + 1 $ Friedmann model in supergravity with cosmological constant does admit quantum states. However, the Bianchi type-IX model provides a better guide to the behaviour of a generic state, since more gravitino modes are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant. are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant.
[ { "created": "Wed, 6 Apr 1994 16:15:54 GMT", "version": "v1" } ]
2009-10-22
[ [ "Cheng", "A. D. Y.", "" ], [ "D'Eath", "P. D.", "" ], [ "Moniz", "P. R. L. V.", "" ] ]
Diagonal Bianchi type-IX models are studied in the quantum theory of $ N = 1 $ supergravity with a cosmological constant. It is shown, by imposing the supersymmetry and Lorentz quantum constraints, that there are no physical quantum states in this model. The $ k = + 1 $ Friedmann model in supergravity with cosmological constant does admit quantum states. However, the Bianchi type-IX model provides a better guide to the behaviour of a generic state, since more gravitino modes are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant. are available to be excited. These results indicate that there may be no physical quantum states in the full theory of $ N = 1 $ supergravity with a non-zero cosmological constant.
1106.5543
Carlos Augusto Romero Filho
C. Romero, J. B. Fonseca-Neto and M. L. Pucheu
General Relativity and Weyl Frames
Talk presented at the 8th Alexander Friedmann International Seminar on General Relativity and Gravitation (Rio de Janeiro - 2011)
null
10.1142/S2010194511001115
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present the general theory of relativity in the language of a non-Riemannian geometry, namely, Weyl geometry. We show that the new mathematical formalism may lead to different pictures of the same gravitational phenomena, by making use of the concept of Weyl frames. We show that, in this formalism, it is possible to construct a scalar-tensor gravitational theory that is invariant with respect to the so-called Weyl tranformations and reduces to general relativity in a particular frame, the Riemann frame. In this approach the Weyl geometry plays a fundamental role since it appears as the natural geometrical setting of the theory when viewed in an arbitrary frame. Our starting point is to build an action that is manifestly invariant with respect to Weyl transformations. When this action is expressed in more familiar terms of Riemannian geometry we find that the theory has some similarities with Brans-Dicke theory of gravity. We illustrate this point with an example in which a known Brans-Dicke vacuum solution may appear when reinterpreted in a particular Weyl frame.
[ { "created": "Tue, 28 Jun 2011 00:25:27 GMT", "version": "v1" } ]
2015-05-28
[ [ "Romero", "C.", "" ], [ "Fonseca-Neto", "J. B.", "" ], [ "Pucheu", "M. L.", "" ] ]
We present the general theory of relativity in the language of a non-Riemannian geometry, namely, Weyl geometry. We show that the new mathematical formalism may lead to different pictures of the same gravitational phenomena, by making use of the concept of Weyl frames. We show that, in this formalism, it is possible to construct a scalar-tensor gravitational theory that is invariant with respect to the so-called Weyl tranformations and reduces to general relativity in a particular frame, the Riemann frame. In this approach the Weyl geometry plays a fundamental role since it appears as the natural geometrical setting of the theory when viewed in an arbitrary frame. Our starting point is to build an action that is manifestly invariant with respect to Weyl transformations. When this action is expressed in more familiar terms of Riemannian geometry we find that the theory has some similarities with Brans-Dicke theory of gravity. We illustrate this point with an example in which a known Brans-Dicke vacuum solution may appear when reinterpreted in a particular Weyl frame.
2301.09797
Yusuke Manita
Yusuke Manita, Sirachak Panpanich and Rampei Kimura
Viable massive gravity without nonlinear screening
8 pages
null
null
KUNS-2951
gr-qc astro-ph.CO hep-th
http://creativecommons.org/licenses/by/4.0/
We study nonlinear effects of perturbations around a cosmological background in projected massive gravity, which admits self-accelerating solutions in an open FLRW universe. Using the zero-curvature scaling limit, we derive nonlinear equations containing all the relevant terms on subhorizon scales. We find that the solution for a scalar graviton vanishes completely for all scales, which agrees with the linear perturbation analysis in the previous study. In addition, the effects on the gravitational potential due to the next order perturbation are strongly suppressed within the horizon. Therefore, a screening mechanism is no longer needed for consistency with solar-system experiments in the projected massive gravity.
[ { "created": "Tue, 24 Jan 2023 03:19:39 GMT", "version": "v1" } ]
2023-01-25
[ [ "Manita", "Yusuke", "" ], [ "Panpanich", "Sirachak", "" ], [ "Kimura", "Rampei", "" ] ]
We study nonlinear effects of perturbations around a cosmological background in projected massive gravity, which admits self-accelerating solutions in an open FLRW universe. Using the zero-curvature scaling limit, we derive nonlinear equations containing all the relevant terms on subhorizon scales. We find that the solution for a scalar graviton vanishes completely for all scales, which agrees with the linear perturbation analysis in the previous study. In addition, the effects on the gravitational potential due to the next order perturbation are strongly suppressed within the horizon. Therefore, a screening mechanism is no longer needed for consistency with solar-system experiments in the projected massive gravity.
gr-qc/9506009
Imtjj51
F.J.de Urries and J.Julve
Degrees of Freedom of Arbitrarily Higher-Derivative Field Theories
24 pages, plain TEX
null
null
preprint IMAFF-95/36
gr-qc hep-th
null
As an example of what happens with physically relevant theories like effective gravity, we consider the covariant relativistic theory of a scalar field of arbitrarily higher differential order. A procedure based on the Legendre transformation and suitable field redefinitions allows to recast it as a theory of second order with one explicit independent field for each degree of freedom. The physical and ghost fields are then apparent. The full (classical) equivalence of both Higher and Lower Derivative versions is shown. An artifact of the method is the appearance of irrelevant spurious fields which are devoid of any dynamical content.
[ { "created": "Mon, 5 Jun 1995 17:16:43 GMT", "version": "v1" }, { "created": "Tue, 6 Jun 1995 14:30:58 GMT", "version": "v2" } ]
2008-02-03
[ [ "de Urries", "F. J.", "" ], [ "Julve", "J.", "" ] ]
As an example of what happens with physically relevant theories like effective gravity, we consider the covariant relativistic theory of a scalar field of arbitrarily higher differential order. A procedure based on the Legendre transformation and suitable field redefinitions allows to recast it as a theory of second order with one explicit independent field for each degree of freedom. The physical and ghost fields are then apparent. The full (classical) equivalence of both Higher and Lower Derivative versions is shown. An artifact of the method is the appearance of irrelevant spurious fields which are devoid of any dynamical content.
gr-qc/9905073
Bodo Geyer
Bodo Geyer, Sergei D. Odintsov and Sergio Zerbini
Inflationary Brans-Dicke Quantum Universe
10 pages, 3 additional references
Phys.Lett.B460:58-62,1999
10.1016/S0370-2693(99)00751-0
null
gr-qc hep-th
null
The formulation of Brans-Dicke (BD) gravity with matter in the Einstein frame is realized as Einstein gravity with dilaton and dilaton coupled matter. We calculate the one-loop 4d anomaly-induced effective action due to N dilaton- coupled massless fermions on the time-dependent conformally flat background with non-trivial dilaton. Using that complete effective action the (fourth-order) quantum corrected equations of motion are derived. One special solution of these equations representing an inflationary Universe (with exponential scale factor) and (much slower) expanding BD dilaton is given. Similarly, the 2d quantum BD Universe with time-dependent dilaton is constructed. In the last case the dynamics is completely due to quantum effects.
[ { "created": "Thu, 20 May 1999 10:39:20 GMT", "version": "v1" }, { "created": "Wed, 26 May 1999 13:34:34 GMT", "version": "v2" } ]
2009-09-17
[ [ "Geyer", "Bodo", "" ], [ "Odintsov", "Sergei D.", "" ], [ "Zerbini", "Sergio", "" ] ]
The formulation of Brans-Dicke (BD) gravity with matter in the Einstein frame is realized as Einstein gravity with dilaton and dilaton coupled matter. We calculate the one-loop 4d anomaly-induced effective action due to N dilaton- coupled massless fermions on the time-dependent conformally flat background with non-trivial dilaton. Using that complete effective action the (fourth-order) quantum corrected equations of motion are derived. One special solution of these equations representing an inflationary Universe (with exponential scale factor) and (much slower) expanding BD dilaton is given. Similarly, the 2d quantum BD Universe with time-dependent dilaton is constructed. In the last case the dynamics is completely due to quantum effects.
1503.07581
Bertrand Chauvineau
Bertrand Chauvineau, Davi C. Rodrigues, J\'ulio C. Fabris
Scalar-tensor theories with an external scalar
21 pages, 3 figures, revtex To appear in General Relativity and Gravitation
null
10.1007/s10714-016-2075-9
null
gr-qc astro-ph.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Scalar-tensor (ST) gravity is considered in the case where the scalar is an external field. We show that General Relativity (GR) and usual ST gravity are particular cases of the External Scalar-Tensor (EST) gravity. It is shown with a particular cosmological example that it is possible to join a part of a GR solution to a part of a ST one such that the complete solution neither belongs to GR nor to ST, but fully satisfies the EST field equations. We argue that external fields may effectively work as a type of screening mechanism for ST theories.
[ { "created": "Wed, 25 Mar 2015 23:44:36 GMT", "version": "v1" }, { "created": "Fri, 29 Jan 2016 12:19:06 GMT", "version": "v2" }, { "created": "Mon, 23 May 2016 16:28:55 GMT", "version": "v3" } ]
2016-06-08
[ [ "Chauvineau", "Bertrand", "" ], [ "Rodrigues", "Davi C.", "" ], [ "Fabris", "Júlio C.", "" ] ]
Scalar-tensor (ST) gravity is considered in the case where the scalar is an external field. We show that General Relativity (GR) and usual ST gravity are particular cases of the External Scalar-Tensor (EST) gravity. It is shown with a particular cosmological example that it is possible to join a part of a GR solution to a part of a ST one such that the complete solution neither belongs to GR nor to ST, but fully satisfies the EST field equations. We argue that external fields may effectively work as a type of screening mechanism for ST theories.
1110.0173
Paulo Pitanga
P. Pitanga
G\"odel's universe and the chronology protection conjecture
Added references; conclusions enlarged
null
null
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a solution for the geodesic motion in G\"odel's universe that provides a particular proof of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the group of the automorphisms of the Heisenberg motion group H1\timesU(1), modulo discrete sub-group Z, act isometrically on the boundary of the hyperbolic three-dimensional manifold. Closed timelike curves do not exist due to the presence of a closed Cauchy-Riemann surface for chronology protection, with two mirror symmetric sets of helicoidal self-similar modules inside. The present solution is isometrically equivalent to a cylindrical gravitational monochromatic wave front.
[ { "created": "Sun, 2 Oct 2011 11:50:02 GMT", "version": "v1" }, { "created": "Mon, 10 Oct 2011 13:03:28 GMT", "version": "v2" }, { "created": "Tue, 11 Oct 2011 23:05:36 GMT", "version": "v3" }, { "created": "Mon, 17 Oct 2011 16:13:46 GMT", "version": "v4" }, { "created": "Wed, 26 Oct 2011 14:46:31 GMT", "version": "v5" } ]
2015-03-19
[ [ "Pitanga", "P.", "" ] ]
We present a solution for the geodesic motion in G\"odel's universe that provides a particular proof of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the group of the automorphisms of the Heisenberg motion group H1\timesU(1), modulo discrete sub-group Z, act isometrically on the boundary of the hyperbolic three-dimensional manifold. Closed timelike curves do not exist due to the presence of a closed Cauchy-Riemann surface for chronology protection, with two mirror symmetric sets of helicoidal self-similar modules inside. The present solution is isometrically equivalent to a cylindrical gravitational monochromatic wave front.
gr-qc/0307112
Jeff Murugan
George F.R. Ellis, Jeff Murugan and Christos G. Tsagas
The Emergent Universe: An Explicit Construction
10 pages, 6 eps figures, revtex4. Discussion on initial conditions improved and typos corrected. This version to appear in Classical and Quantum Gravity
Class.Quant.Grav.21:233-250,2004
10.1088/0264-9381/21/1/016
null
gr-qc astro-ph
null
We provide a realisation of a singularity-free inflationary universe in the form of a simple cosmological model dominated at early times by a single minimally coupled scalar field with a physically based potential. The universe starts asymptotically from an initial Einstein static state, which may be large enough to avoid the quantum gravity regime. It enters an expanding phase that leads to inflation followed by reheating and a standard hot Big Bang evolution. We discuss the basic characteristics of this Emergent model and show that none is at odds with current observations.
[ { "created": "Mon, 28 Jul 2003 12:45:14 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 2003 20:21:12 GMT", "version": "v2" } ]
2008-11-26
[ [ "Ellis", "George F. R.", "" ], [ "Murugan", "Jeff", "" ], [ "Tsagas", "Christos G.", "" ] ]
We provide a realisation of a singularity-free inflationary universe in the form of a simple cosmological model dominated at early times by a single minimally coupled scalar field with a physically based potential. The universe starts asymptotically from an initial Einstein static state, which may be large enough to avoid the quantum gravity regime. It enters an expanding phase that leads to inflation followed by reheating and a standard hot Big Bang evolution. We discuss the basic characteristics of this Emergent model and show that none is at odds with current observations.
0904.1715
Chris Van Den Broeck
Chris Van Den Broeck, Duncan A. Brown, Thomas Cokelaer, Ian Harry, Gareth Jones, B.S. Sathyaprakash, Hideyuki Tagoshi, and Hirotaka Takahashi
Template banks to search for compact binaries with spinning components in gravitational wave data
11 pages, 3 figures
Phys.Rev.D80:024009,2009
10.1103/PhysRevD.80.024009
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Gravitational waves from coalescing compact binaries are one of the most promising sources for detectors such as LIGO, Virgo and GEO600. If the components of the binary posess significant angular momentum (spin), as is likely to be the case if one component is a black hole, spin-induced precession of a binary's orbital plane causes modulation of the gravitational-wave amplitude and phase. If the templates used in a matched-filter search do not accurately model these effects then the sensitivity, and hence the detection rate, will be reduced. We investigate the ability of several search pipelines to detect gravitational waves from compact binaries with spin. We use the post-Newtonian approximation to model the inspiral phase of the signal and construct two new template banks using the phenomenological waveforms of Buonanno, Chen and Vallisneri. We compare the performance of these template banks to that of banks constructed using the stationary phase approximation to the non-spinning post-Newtonian inspiral waveform currently used by LIGO and Virgo in the search for compact binary coalescence. We find that, at the same false alarm rate, a search pipeline using phenomenological templates is no more effective than a pipeline which uses non-spinning templates. We recommend the continued use of the non-spinning stationary phase template bank until the false alarm rate associated with templates which include spin effects can be substantially reduced.
[ { "created": "Fri, 10 Apr 2009 18:08:31 GMT", "version": "v1" } ]
2009-09-02
[ [ "Broeck", "Chris Van Den", "" ], [ "Brown", "Duncan A.", "" ], [ "Cokelaer", "Thomas", "" ], [ "Harry", "Ian", "" ], [ "Jones", "Gareth", "" ], [ "Sathyaprakash", "B. S.", "" ], [ "Tagoshi", "Hideyuki", "" ], [ "Takahashi", "Hirotaka", "" ] ]
Gravitational waves from coalescing compact binaries are one of the most promising sources for detectors such as LIGO, Virgo and GEO600. If the components of the binary posess significant angular momentum (spin), as is likely to be the case if one component is a black hole, spin-induced precession of a binary's orbital plane causes modulation of the gravitational-wave amplitude and phase. If the templates used in a matched-filter search do not accurately model these effects then the sensitivity, and hence the detection rate, will be reduced. We investigate the ability of several search pipelines to detect gravitational waves from compact binaries with spin. We use the post-Newtonian approximation to model the inspiral phase of the signal and construct two new template banks using the phenomenological waveforms of Buonanno, Chen and Vallisneri. We compare the performance of these template banks to that of banks constructed using the stationary phase approximation to the non-spinning post-Newtonian inspiral waveform currently used by LIGO and Virgo in the search for compact binary coalescence. We find that, at the same false alarm rate, a search pipeline using phenomenological templates is no more effective than a pipeline which uses non-spinning templates. We recommend the continued use of the non-spinning stationary phase template bank until the false alarm rate associated with templates which include spin effects can be substantially reduced.
gr-qc/0403104
Zet Gheorghe
G. Zet, C. D. Oprisan, S. Babeti
Solutions without singularities in gauge theory of gravitation
9 pages, no figures
Int.J.Mod.Phys. C15 (2004) 1031-1038
10.1142/S0129183104006443
null
gr-qc
null
A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying space-time is not affected by physical events. The field equations are written and their solutions without singularities are obtained by imposing some constraints on the invariants of the model. An example of such a solution is given and its dependence on the cosmological constant is studied. A comparison with results obtained in General Relativity theory is also presented. Keywords: gauge theory, gravitation, singularity, computer algebra
[ { "created": "Thu, 25 Mar 2004 12:57:10 GMT", "version": "v1" } ]
2009-11-10
[ [ "Zet", "G.", "" ], [ "Oprisan", "C. D.", "" ], [ "Babeti", "S.", "" ] ]
A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying space-time is not affected by physical events. The field equations are written and their solutions without singularities are obtained by imposing some constraints on the invariants of the model. An example of such a solution is given and its dependence on the cosmological constant is studied. A comparison with results obtained in General Relativity theory is also presented. Keywords: gauge theory, gravitation, singularity, computer algebra
gr-qc/0012014
B. S. Sathyaprakash
B.S. Sathyaprakash
The gravitational wave symphony of the Universe
Proceedings of the International Conference on Gravitation and Cosmology, held at IIT Kharagpur, Jan 2000 (to appear in Pramana J. Phys.)
Pramana 56:457-475,2001
10.1007/s12043-001-0096-7
null
gr-qc
null
The new millennium will see the upcoming of several ground-based interferometric gravitational wave antennas. Within the next decade a space-based antenna may also begin to observe the distant Universe. These gravitational wave detectors will together operate as a network taking data continuously for several years, watching the transient and continuous phenomena occurring in the deep cores of astronomical objects and dense environs of the early Universe where gravity was extremely strong and highly non-linear. The network will listen to the waves from rapidly spinning non-axisymmetric neutron stars, normal modes of black holes, binary black hole inspiral and merger, phase transitions in the early Universe, quantum fluctuations resulting in a characteristic background in the early Universe. The gravitational wave antennas will open a new window to observe the dark Universe unreachable via other channels of astronomical observations.
[ { "created": "Mon, 4 Dec 2000 22:58:19 GMT", "version": "v1" }, { "created": "Wed, 10 Jul 2002 21:58:38 GMT", "version": "v2" } ]
2009-10-31
[ [ "Sathyaprakash", "B. S.", "" ] ]
The new millennium will see the upcoming of several ground-based interferometric gravitational wave antennas. Within the next decade a space-based antenna may also begin to observe the distant Universe. These gravitational wave detectors will together operate as a network taking data continuously for several years, watching the transient and continuous phenomena occurring in the deep cores of astronomical objects and dense environs of the early Universe where gravity was extremely strong and highly non-linear. The network will listen to the waves from rapidly spinning non-axisymmetric neutron stars, normal modes of black holes, binary black hole inspiral and merger, phase transitions in the early Universe, quantum fluctuations resulting in a characteristic background in the early Universe. The gravitational wave antennas will open a new window to observe the dark Universe unreachable via other channels of astronomical observations.
1901.04658
Hayato Motohashi
Hayato Motohashi, Masato Minamitsuji
Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
15 pages; reference added; matches published version
Phys. Rev. D 99, 064040 (2019)
10.1103/PhysRevD.99.064040
YITP-19-01
gr-qc astro-ph.CO hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions are the Schwarzschild and Schwarzschild-(anti-)de Sitter solutions, and the Schwarzschild-type solution with a deficit solid angle, which are accompanied by nontrivial scalar field regular at the black hole event horizon. We derive the conditions for the coupling functions in the DHOST Lagrangian that allow the exact solutions, clarify their compatibility with the degeneracy conditions, and provide general form of coupling functions as well as simple models that satisfy the conditions.
[ { "created": "Tue, 15 Jan 2019 04:45:44 GMT", "version": "v1" }, { "created": "Tue, 22 Jan 2019 08:23:49 GMT", "version": "v2" }, { "created": "Wed, 10 Apr 2019 12:50:41 GMT", "version": "v3" } ]
2019-04-11
[ [ "Motohashi", "Hayato", "" ], [ "Minamitsuji", "Masato", "" ] ]
We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions are the Schwarzschild and Schwarzschild-(anti-)de Sitter solutions, and the Schwarzschild-type solution with a deficit solid angle, which are accompanied by nontrivial scalar field regular at the black hole event horizon. We derive the conditions for the coupling functions in the DHOST Lagrangian that allow the exact solutions, clarify their compatibility with the degeneracy conditions, and provide general form of coupling functions as well as simple models that satisfy the conditions.
1703.02372
Kimet Jusufi
Kimet Jusufi, Ali Ovgun, Gordana Apostolovska
Tunneling of Massive/Massless Bosons From the Apparent Horizon of FRW Universe
7 pages, accepted for publication in Advances in High Energy Physics
Advances in High Energy Physics, vol. 2017, Article ID 8798657, 7 pages, 2017
10.1155/2017/8798657
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article we investigate the Hawking radiation of vector particles from the apparent horizon of a Friedmann-Robertson-Walker (FRW) universe in the framework of quantum tunneling method. Furthermore we use Proca equation, a relativistic wave equation for a massive/massless spin-1 particle (massless $\gamma$ photons, weak massive $W^{\pm}$ and $Z^{0}$ bosons, strong massless gluons and $\rho$ and $\omega$ mesons) together with a Painlev\'{e} spacetime metric for the FRW universe. We solve the Proca equation via Hamilton-Jacobi (HJ) equation and the WKB approximation method. We recover the same result for the Hawking temperature associated with vector particles as in the case of scalar and Dirac particles tunnelled from outside to the inside of the apparent horizon in a FRW universe.
[ { "created": "Tue, 7 Mar 2017 13:36:33 GMT", "version": "v1" }, { "created": "Mon, 22 May 2017 16:34:02 GMT", "version": "v2" } ]
2017-07-04
[ [ "Jusufi", "Kimet", "" ], [ "Ovgun", "Ali", "" ], [ "Apostolovska", "Gordana", "" ] ]
In this article we investigate the Hawking radiation of vector particles from the apparent horizon of a Friedmann-Robertson-Walker (FRW) universe in the framework of quantum tunneling method. Furthermore we use Proca equation, a relativistic wave equation for a massive/massless spin-1 particle (massless $\gamma$ photons, weak massive $W^{\pm}$ and $Z^{0}$ bosons, strong massless gluons and $\rho$ and $\omega$ mesons) together with a Painlev\'{e} spacetime metric for the FRW universe. We solve the Proca equation via Hamilton-Jacobi (HJ) equation and the WKB approximation method. We recover the same result for the Hawking temperature associated with vector particles as in the case of scalar and Dirac particles tunnelled from outside to the inside of the apparent horizon in a FRW universe.
2207.02835
Dipayan Mukherjee
Dipayan Mukherjee, H. K. Jassal, Kinjalk Lochan
Bouncing and collapsing universes dual to late-time cosmological models
36 pages, 12 figures, minor changes
Eur. Phys. J. C 84, 318 (2024)
10.1140/epjc/s10052-024-12673-1
null
gr-qc astro-ph.CO hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We use the Jordan frame-Einstein frame correspondence to explore dual universes with contrasting cosmological evolutions. We study the mapping between Einstein and Jordan frames where the Einstein frame universe describes the late-time evolution of the physical universe, which is driven by dark energy and non-relativistic matter. The Brans-Dicke theory of gravity is considered to be the dual scalar-tensor theory in the Jordan frame. We show that an Einstein frame universe, with cosmological evolution of the $\Lambda$CDM model, always corresponds to a bouncing Jordan frame universe governed by a Brans-Dicke theory. On the other hand, quintessence models of dark energy with non-relativistic matter component are shown to be always dual to a Brans-Dicke Jordan frame with a turn-around, i.e., a bounce or a collapse. The evolution of the equation of state of the quintessence field determines whether the turn-around is a bounce or a collapse. The point of the Jordan frame turn-around for all the cases can be tuned anywhere by choosing an appropriate Brans-Dicke parameter. This essentially leads to alternative descriptions of the late-time evolution of the physical universe, in terms of bouncing or collapsing Brans-Dicke universes in the Jordan frame. Therefore,the effect of dark energy can equivalently be seen as collapse of space in a conformally connected universe. We further study the stability of such conformal maps against linear perturbations. The effective bouncing and collapsing descriptions of the current accelerating universe may have interesting implications for the evolutions of perturbations and quantum fluctuations in the cosmological background.
[ { "created": "Wed, 6 Jul 2022 17:47:38 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2022 05:56:12 GMT", "version": "v2" }, { "created": "Sun, 25 Dec 2022 12:47:57 GMT", "version": "v3" }, { "created": "Wed, 27 Mar 2024 15:23:54 GMT", "version": "v4" } ]
2024-03-28
[ [ "Mukherjee", "Dipayan", "" ], [ "Jassal", "H. K.", "" ], [ "Lochan", "Kinjalk", "" ] ]
We use the Jordan frame-Einstein frame correspondence to explore dual universes with contrasting cosmological evolutions. We study the mapping between Einstein and Jordan frames where the Einstein frame universe describes the late-time evolution of the physical universe, which is driven by dark energy and non-relativistic matter. The Brans-Dicke theory of gravity is considered to be the dual scalar-tensor theory in the Jordan frame. We show that an Einstein frame universe, with cosmological evolution of the $\Lambda$CDM model, always corresponds to a bouncing Jordan frame universe governed by a Brans-Dicke theory. On the other hand, quintessence models of dark energy with non-relativistic matter component are shown to be always dual to a Brans-Dicke Jordan frame with a turn-around, i.e., a bounce or a collapse. The evolution of the equation of state of the quintessence field determines whether the turn-around is a bounce or a collapse. The point of the Jordan frame turn-around for all the cases can be tuned anywhere by choosing an appropriate Brans-Dicke parameter. This essentially leads to alternative descriptions of the late-time evolution of the physical universe, in terms of bouncing or collapsing Brans-Dicke universes in the Jordan frame. Therefore,the effect of dark energy can equivalently be seen as collapse of space in a conformally connected universe. We further study the stability of such conformal maps against linear perturbations. The effective bouncing and collapsing descriptions of the current accelerating universe may have interesting implications for the evolutions of perturbations and quantum fluctuations in the cosmological background.
1904.08012
Antony Speranza
Antony J. Speranza
Geometrical tools for embedding fields, submanifolds, and foliations
43 + 18 pages, 2 figures, v2: updated discussion of normal bundle topology, references added
null
null
null
gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Embedding fields provide a way of coupling a background structure to a theory while preserving diffeomorphism-invariance. Examples of such background structures include embedded submanifolds, such as branes; boundaries of local subregions, such as the Ryu-Takayanagi surface in holography; and foliations, which appear in fluid dynamics and force-free electrodynamics. This work presents a systematic framework for computing geometric properties of these background structures in the embedding field description. An overview of the local geometric quantities associated with a foliation is given, including a review of the Gauss, Codazzi, and Ricci-Voss equations, which relate the geometry of the foliation to the ambient curvature. Generalizations of these equations for curvature in the nonintegrable normal directions are derived. Particular care is given to the question of which objects are well-defined for single submanifolds, and which depend on the structure of the foliation away from a submanifold. Variational formulas are provided for the geometric quantities, which involve contributions both from the variation of the embedding map as well as variations of the ambient metric. As an application of these variational formulas, a derivation is given of the Jacobi equation, describing perturbations of extremal area surfaces of arbitrary codimension. The embedding field formalism is also applied to the problem of classifying boundary conditions for general relativity in a finite subregion that lead to integrable Hamiltonians. The framework developed in this paper will provide a useful set of tools for future analyses of brane dynamics, fluid mechanics, and edge modes for finite subregions of diffeomorphism-invariant theories.
[ { "created": "Tue, 16 Apr 2019 23:22:25 GMT", "version": "v1" }, { "created": "Fri, 26 Apr 2019 03:38:30 GMT", "version": "v2" } ]
2019-04-29
[ [ "Speranza", "Antony J.", "" ] ]
Embedding fields provide a way of coupling a background structure to a theory while preserving diffeomorphism-invariance. Examples of such background structures include embedded submanifolds, such as branes; boundaries of local subregions, such as the Ryu-Takayanagi surface in holography; and foliations, which appear in fluid dynamics and force-free electrodynamics. This work presents a systematic framework for computing geometric properties of these background structures in the embedding field description. An overview of the local geometric quantities associated with a foliation is given, including a review of the Gauss, Codazzi, and Ricci-Voss equations, which relate the geometry of the foliation to the ambient curvature. Generalizations of these equations for curvature in the nonintegrable normal directions are derived. Particular care is given to the question of which objects are well-defined for single submanifolds, and which depend on the structure of the foliation away from a submanifold. Variational formulas are provided for the geometric quantities, which involve contributions both from the variation of the embedding map as well as variations of the ambient metric. As an application of these variational formulas, a derivation is given of the Jacobi equation, describing perturbations of extremal area surfaces of arbitrary codimension. The embedding field formalism is also applied to the problem of classifying boundary conditions for general relativity in a finite subregion that lead to integrable Hamiltonians. The framework developed in this paper will provide a useful set of tools for future analyses of brane dynamics, fluid mechanics, and edge modes for finite subregions of diffeomorphism-invariant theories.
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