Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes

Abstract

We calculate analytically the highly damped quasinormal mode spectra of generic single-horizon black holes using the rigorous WKB techniques of Andersson and Howls\cite{Andersson}. We thereby provide a firm foundation for previous analysis, and point out some of their possible limitations. The numerical coefficient in the real part of the highly damped frequency is generically determined by the behavior of coupling of the perturbation to the gravitational field near the origin, as expressed in tortoise coordinates. This fact makes it difficult to understand how the famous $ln(3)$ could be related to the quantum gravitational microstates near the horizon.

21 pages, 4 figures

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• Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
• Quasinormal ringing of Kerr black holes: The excitation factors
• Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
• A Detailed Analytic Study of the Asymptotic Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes
• Electromagnetic quasinormal modes of D-dimensional black holes
• Black Hole Thermodynamics and Statistical Mechanics
• Quasinormal Modes and Stability Criterion of Dilatonic Black Hole in 1+1 and 4+1 Dimensions
• A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions
• Effects of non-commutative geometry on black hole properties
• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Asymptotic Quasinormal Modes of d-Dimensional Schwarzschild Black Hole with Gauss-Bonnet Correction
• The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
• Properties of an axisymmetric Lorentzian non-commutative black hole
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• Non-minimal scalar fields in 2D de Sitter and dilaton black holes
• No asymptotically highly damped quasi-normal modes without horizons?
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Universality of Highly Damped Quasinormal Modes for Single Horizon Black Holes
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes