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Quasinormal modes of AdS black holes and the approach to thermal equilibrium
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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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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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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