2008

Quasinormal modes of plane-symmetric black holes according to the AdS/CFT correspondence

Miranda, Alex S., Morgan, Jaqueline, Zanchin, Vilson T.

Understand

The electromagnetic and gravitational quasinormal spectra of $(3+1)$-dimensional plane-symmetric anti-de Sitter black holes are analyzed in the context of the AdS/CFT correspondence.

According to such a correspondence, the electromagnetic and gravitational quasinormal frequencies of these black holes are associated respectively to the poles of retarded correlation functions of $R$-symmetry currents and stress-energy tensor in the holographically dual conformal field theory: the $(2+1)$-dimensional $\mathcal{N}=8$ super-Yang-Mills theory.
The connection between AdS black holes and the corresponding field theory is used to unambiguously fix the boundary conditions that enter the proper definition of quasinormal modes.
Such a procedure also helps one to decide, among the various different possibilities, what are the appropriate gauge-invariant quantities one should use in order to correctly describe the electromagnetic and gravitational blackhole perturbations.

Built on

T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108
1957
Earlier work this paper cites.
F. J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Phys. Rev. Lett. 24
1970
Earlier work this paper cites.
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation
1973
Earlier work this paper cites.
R. Ruffini, On the energetics of black holes, in Black Holes: les Astres Occlus
1973
Earlier work this paper cites.
M. J. Duff, C. N. Pope, and N. P. Warner, Cosmological and coupling constants in Kaluza-Klein supergravity, Phys. Lett. B 130
1983
Earlier work this paper cites.
K. Scharnhorst, On propagation of light in the vacuum between plates, Phys. Lett. B 236
1990
Earlier work this paper cites.
G. T. Horowitz and A. Strominger, Black strings and P-branes, Nucl. Phys. B 360
1991
Earlier work this paper cites.
M. Bañados, C. Teitelboim, and J. Zanelli, The Black hole in three-dimensional spacetime, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
J. P. S. Lemos, Two-dimensional black holes and planar general relativity, Class. Quantum Gravity 12
1995
Earlier work this paper cites.
J . P. S. Lemos, Three-dimensional black holes and cylindrical general relativity, Phys. Lett. B 353
1995
Earlier work this paper cites.
C. G. Huang and C. B. Liang, A torus-like black hole, Phys. Lett. A 201
1995
Earlier work this paper cites.
P. K. Townsend, D-branes from M-branes, Phys. Lett. B 373
1996
Earlier work this paper cites.
R. G. Cai and Y. Z. Zhang, Black plane solutions in four-dimensional spacetimes, Phys. Rev. D 54
1996
Earlier work this paper cites.
I. R. Klebanov, World volume approach to absorption by non-dilatonic branes, Nucl. Phys. B 496
1997
Earlier work this paper cites.
J. M. Maldacena, The large N N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
N. Seiberg, Notes on theories with 16 supercharges, Nucl. Phys. B 67
1998
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein, and S. Yankielowicz, Supergravity and the large N N limit of theories with sixteen supercharges, Phys. Rev. D 58
1998
Earlier work this paper cites.
H. Liu and A. A. Tseytlin, D = 4 D=4 super Yang-Mills, D = 5 D=5 gauged supergravity and D = 4 D=4 conformal supergravity, Nucl. Phys. B 533
1998
Earlier work this paper cites.
K. D. Kokkotas and B. G. Schmidt, Quasinormal modes of stars and black hole, Living Rev. Relativity 2
1999
Earlier work this paper cites.
H. Nollert, Quasinormal modes: The Characteristic ‘sound’ of black holes and neutron stars. Class. Quantum Gravity 16
1999
Earlier work this paper cites.
B. Wang, C. Y. Lin, and E. Abdalla, Quasinormal modes of Reissner-Nordström anti-de Sitter black holes, Phys. Lett. B 481
2000
Earlier work this paper cites.
G. T. Horowitz and V. E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium, Phys. Rev. D 62
2000
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, Large N N field theories, string theory and gravity, Phys. Rep. 323
2000
Earlier work this paper cites.
T. R. Govindarajan and V. Suneeta, Quasinormal modes of AdS black holes: A Superpotential approach, Class. Quantum Gravity 18
2001
Earlier work this paper cites.
B. Wang, C. Molina, and E. Abdalla, Evolution of a massless scalar field in Reissner-Nordström anti-de Sitter spacetimes, Phys. Rev. D 63
2001
Earlier work this paper cites.
J. M. Zhu, B. Wang, and E. Abdalla, Object picture of quasinormal ringing on the background of small Schwarzschild anti-de Sitter black holes, Phys. Rev. D 63
2001
Earlier work this paper cites.
V. Cardoso and J. P. S. Lemos, Scalar, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes, Phys. Rev. D 63
2001
Earlier work this paper cites.

Similar

V. Cardoso and J. P. S. Lemos, Quasinormal modes of Schwarzschild-anti-de Sitter black holes: Electromagnetic and gravitational perturbations, Phys. Rev. D 64
2001
Cited alongside, same era.
V. Cardoso and J. P. S. Lemos, Quasinormal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes: Scalar, electromagnetic and gravitational perturbations, Class. Quantum Gravity 18
2001
Cited alongside, same era.
B. Wang, E. Abdalla, and R. B. Mann, Scalar wave propagation in topological black hole backgrounds, Phys. Rev. D 65
2002
Cited alongside, same era.
R. A. Konoplya, Quasinormal modes of a small Schwarzschild-anti-de Sitter black hole, Phys. Rev. D 66
2002
Cited alongside, same era.
R. A. Konoplya, Decay of a charged scalar field around a black hole: quasinormal modes of RN, RNAdS, and dilaton black holes, Phys. Rev. D 66
2002
Cited alongside, same era.
A. O. Starinets, Quasinormal modes of near extremal black branes, Phys. Rev. D 66
2002
Cited alongside, same era.
D. Birmingham, I. Sachs, and S. N. Solodukhin, Conformal field theory interpretation of black hole quasinormal modes, Phys. Rev. Lett. 88
2002
Cited alongside, same era.
D. T. Son and A. O. Starines, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, J. High Energy Phys. 09
2002
Cited alongside, same era.
I. G. Moss and J. P. Norman, Gravitational quasinormal modes for anti-de Sitter black holes, Class. Quantum Gravity 19
2002
Cited alongside, same era.
C. P. Herzog, The hydrodynamics of M-theory, J. High Energy Phys. 12
2002
Cited alongside, same era.
D. Berenstein, C. P. Herzog, and I. R. Klebanov, Baryon spectra and AdS/CFT correspondence, J. High Energy Phys. 06
2002
Cited alongside, same era.
G. Policastro, D. T. Son, and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics, J. High Energy Phys. 09
2002
Cited alongside, same era.

Then

V. Cardoso, J. Natário, and R Schiappa, Asymptotic quasinormal frequencies for black holes in nonasymptotically flat spacetimes, J. Math. Phys. 45
2004
Later among the works it cites.
J. Natário and R Schiappa, On the classification of asymptotic quasinormal frequencies for d d -dimensional black holes and quantum gravity, Adv. Theor. Math. Phys. 8
2004
Later among the works it cites.
M. Giammatteo and J. L. Jing, Dirac quasinormal frequencies in Schwarzschild-AdS space-time, Phys. Rev. D 71
2005
Later among the works it cites.
J. L. Jing and Q. Y. Pan, Dirac quasinormal frequencies of Schwarzschild-anti-de Sitter and Reissner-Nordström-anti-de Sitter black holes, Phys. Rev. D 71
2005
Later among the works it cites.
K. Maeda, M. Natsuume, and T. Okamura, Quasinormal modes for nonextreme D p p -branes and thermalizations of super-Yang-Mills theories, Phys. Rev. D 72
2005
Later among the works it cites.
G. Siopsis, On quasi-normal modes and the AdS 5 / CFT 4 \mbox{AdS}_{5}/\mbox{CFT}_{4} correspondence, Nucl. Phys. B 715
2005
Later among the works it cites.
Y. Zhang and J. L. Jing, Dirac quasinormal modes of the Schwarzschild-anti-de Sitter black hole with a global monopole, Chin. Phys. Lett. 22
2005
Later among the works it cites.
M. Giammatteo and I. G. Moss, Gravitational quasinormal modes for Kerr anti-de Sitter black holes, Class. Quantum Gravity 22
2005
Later among the works it cites.
P. K. Kovtun and A. O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72
2005
Later among the works it cites.
P. K. Kovtun, D. T. Son, and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics. Phys. Rev. Lett. 94
2005
Later among the works it cites.
Y. Zhang and J. L. Jing, Quasinormal frequencies of the Rarita-Schwinger field in Reissner-Nordström-anti-de Sitter space-time, Int. J. Mod. Phys. D 15
2006
Later among the works it cites.
A. Zhidenko, Quasinormal modes of the scalar hairy black hole, Class. Quantum Gravity 23
2006
Later among the works it cites.
A. López-Ortega, Electromagnetic quasinormal modes of D D -dimensional black holes, Gen. Relativ. Gravit. 38
2006
Later among the works it cites.
S. Musiri, S. Ness, and G. Siopsis, Perturbative calculation of quasinormal modes of AdS Schwarzschild black holes, Phys. Rev. D 73
2006
Later among the works it cites.
F. W. Shu and Y. G. Shen, Perturbative calculation of quasinormal modes of d d -dimensional black holes, J. High Energy Phys. 08
2006
Later among the works it cites.
D. Birmingham and S. Mokhtari, Exact gravitational quasinormal frequencies of topological black holes, Phys. Rev. D 74
2006
Later among the works it cites.
G. Koutsoumbas, S. Musiri E. Papantonopoulos, and G. Siopsis, Quasinormal modes of electromagnetic perturbations of four-dimensional topological black holes with scalar hair, J. High Energy Phys. 10
2006
Later among the works it cites.
A. S. Miranda and V. T. Zanchin, Quasinormal modes of plane-symmetric anti-de Sitter black holes: A Complete analysis of the gravitational perturbations, Phys. Rev. D 73
2006
Later among the works it cites.
X.P. Rao, B. Wang, and G.H. Yang, Quasinormal modes and phase transition of black holes, Phys. Lett. B 649
2007
Later among the works it cites.
J. J. Friess, S. S. Gubser, G. Michalogiorgakis, and S. S. Pufu, Expanding plasmas and quasinormal modes of anti-de Sitter black holes, J. High Energy Phys. 04
2007
Later among the works it cites.
A. S. Miranda and V. T. Zanchin, Gravitational perturbations and quasinormal modes of black holes with non-spherical topology, Int. J. Mod. Phys. D 16
2007
Later among the works it cites.
G. Michalogiorgakis and S. S. Pufu, Low-lying gravitational modes in the scalar sector of the global AdS 4 \mbox{AdS}_{4} black hole, J. High Energy Phys. 02
2007
Later among the works it cites.
G. Siopsis, Low frequency quasi-normal modes of AdS black holes, J. High Energy Phys. 05
2007
Later among the works it cites.
C. P. Herzog, P. Kovtun, S. Sachdev, and D. T. Son, Quantum critical transport, duality, and M theory, Phys. Rev. D 75
2007
Later among the works it cites.
G. Koutsoumbas, E. Papantonopoulos, and G. Siopsis, Phase transitions in charged topological-AdS black holes, J. High Energy Phys. 05
2008
Closest in time.
I. Amado, C. Hoyos, AdS black holes as reflecting cavities, J. High Energy Phys. 09
2008
Closest in time.
A. N. Aliev and O. Delice, Superradiant Instability of five-dimensional rotating charged AdS black holes, e-Print: arXiv:0808.0280 [hep-th] (2008)
Original
2008
Closest in time.
J. Alsup and G. Siopsis, Low-lying quasinormal modes of topological AdS black holes and hydrodynamics, arXiv:0805.0287v1 [hep-th] (2008)
Original
2008
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…