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Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Open accessAbstract
We investigate the decay of a scalar field outside a Schwarzschild anti--de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are qualitative differences from the asymptotically flat case, even in the limit of small black holes. In particular, for a given angular dependence, the decay is always exponential---there are no power law tails at late times. In terms of the AdS-CFT correspondence, a large black hole corresponds to an approximately thermal state in the field theory, and the decay of the scalar field corresponds to the decay of a perturbation of this state. Thus one obtains the time scale for the approach to thermal equilibrium. We compute these time scales for the strongly coupled field theories in three, four, and six dimensions, which are dual to string theory in asymptotically AdS spacetimes.
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“For holographic AdS black holes, quasi-normal modes appear as poles in relevant retarded two-point correlators of the dual CFT, providing a field-theoretic characterization of black holes out of thermal equilibrium [316].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [316]
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
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Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
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Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
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Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
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Choptuik, M. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.9 · Cited by 1,439
Black strings and p -branes are unstable
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Quasi-normal modes of stars and Black holes
Kokkotas, K. D., & Schmidt, B. G. (1999) · Max Planck Institute for Plasma Physics · Cited by 984
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Quasinormal modes of black holes and black branes
Berti, E., Cardoso, V., & Starinets, A. O. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/16/163001 · Cited by 2,095
Quasinormal modes of black holes: From astrophysics to string theory
Konoplya, R. A., & Zhidenko, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.793 · Cited by 1,532
Black holes as mirrors: quantum information in random subsystems
Hayden, P., & Preskill, J. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/09/120 · Cited by 1,332
Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
Son, D. T., & Starinets, A. O. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/09/042 · Cited by 1,303
Nonlinear fluid dynamics from gravity
Bhattacharyya, S., Minwalla, S. N., Hubeny, V. E., & Rangamani, M. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/02/045 · Cited by 1,257
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Metadata
- Authors
- Horowitz, G. T., & Hubeny, V. E.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2000-06-27
- Volume
- 62
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2102478229
- Cited by
- 926
- References
- 35
- Citations by year
- 2026: 24 · 2025: 57 · 2024: 37 · 2023: 35 · 2022: 43 · 2021: 48 · 2020: 42 · 2019: 47 · 2018: 35 · 2017: 39 · 2016: 29 · 2015: 34 · 2014: 34 · 2013: 37 · 2012: 40
- FWCI
- 14.50
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Keywords
- quasinormal modes, AdS black holes, Schwarzschild-AdS black hole, scalar field decay, AdS/CFT correspondence, power-law tails, strongly coupled field theory, string theory duals, asymptotically AdS spacetimes
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