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Cited by 926Black Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Electrodynamics and Casimir Effect

Quasinormal modes of AdS black holes and the approach to thermal equilibrium

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Horowitz, Gary T., Hubeny, Veronika E.·2000·Physical Review D
DOI 10.1103/physrevd.62.024027
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Abstract

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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  1. [3][3] P. Brady, C. Chambers, W. Krivan and P. Laguna, Phys. Rev. D55 (1997) 7538, grqc/9611056; P. Brady, C. Chambers, W. Laarakkers, and E. Poison, Phys. Rev. D60 (1999) 064003, gr-qc/9902010. - · arXiv
  2. [5][5] J. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231, hep-th/9711200. - · arXiv
  3. [10][10] J. Chan and R. Mann, Phys. Rev. D55 (1997) 7546, gr-qc/9612026; Phys. Rev. D59 (1999) 064025. - · arXiv
  4. [13][13] C. Csaki, H. Ooguri, Y. Oz, and J. Terning, JHEP 01 (1999) 017, hep-th/9806021; R. de Mello Koch, A.Jevicki, M.Mihailescu, and J.P.Nunes, Phys. Rev. D58 (1998) 105009, hep-th/9806125; M. Zyskin, Phys. Lett. B439 (1998) 373, hep-th/9806128. - · arXiv
  5. [14][14] E.S.C. Ching, P.T. Leung, W.M. Suen, and K. Young, Phys. Rev. D52 (1995) 2118, gr-qc/9507035. - · arXiv
  6. [16][16] R. Gregory and R. Laflamme, Phys. Rev. Lett. 70 (1993) 2837, hep-th/9301052; Nucl. Phys. B428 (1994) 399, hep-th/9404071. - · arXiv
  7. [20][20] G. Horowitz, talk at Strings '99, Potsdam, Germany, to appear in the proceedings. -
  8. [24][24] D. Garfinkle, C. Cutler, and G. C. Duncan, gr-qc/9908044. · arXiv

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Authors
Horowitz, G. T., & Hubeny, V. E.
Affiliations
University of California, Santa Barbara (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2000-06-27
Volume
62
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.62.024027
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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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