Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity

Abstract

There has been some recent speculation that a connection may exist between the quasinormal-mode spectra of highly damped black holes and the fundamental theory of quantum gravity. This notion follows from a conjecture by Hod that the real part of the highly damped mode frequencies can be used to calibrate the semi-classical level spacing in the black hole quantum area spectrum. However, even if the level spacing can be fixed in this manner, it still remains unclear whether this implies a physically significant "duality" or merely a numerical coincidence. This tapestry of ideas serves as the motivation for the current paper. We utilize the "monodromy approach" to calculate the quasinormal-mode spectra for a generic class of black holes in two-dimensional dilatonic gravity. Our results agree with the prior literature whenever a direct comparison is possible and provide the analysis of a much more diverse class of black hole models than previously considered.

20 pages, in Revtex; (v2) some new references and minor changes to the text; (v3) some clarity added to Introduction and new reference

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Cited by in corpus (29)

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• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
• Ramifications of Lineland
• Continuous area spectrum in regular black hole
• Quasi-normal modes and microscopic description of 2D black holes
• Quasinormal frequencies of asymptotically flat two-dimensional black holes
• Revisit on holographic complexity in two-dimensional gravity
• Spectrum of rotating black holes and its implications for Hawking radiation
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Ambiguity of black hole entropy in loop quantum gravity
• Virtual Black Holes and the S-matrix
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
• Entropy spectra of single horizon black holes in two dimensions
• Quasinormal modes of charged BTZ black holes
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• Quantum amplification effect in a horizon fluctuations
• Area, ladder symmetry, degeneracy and fluctuations of a horizon
• Scalar and Spinor Quasi Normal Modes of a 2D Dilatonic Blackhole
• Universality of Highly Damped Quasinormal Modes for Single Horizon Black Holes
• Quasinormal frequencies of the dimensionally reduced BTZ black hole
• Effective models of non-singular quantum black holes