The universal area spectrum in single-horizon black holes

Abstract

We investigate highly damped quasinormal mode of single-horizon black holes motivated by its relation to the loop quantum gravity. Using the WKB approximation, we show that the real part of the frequency approaches the value $T_{\mathrm{H}}\ln 3$ for dilatonic black hole as conjectured by Medved et al. and Padmanabhan. It is surprising since the area specrtum of the black hole determined by the Bohr's correspondence principle completely agrees with that of Schwarzschild black hole for any values of the electromagnetic charge or the dilaton coupling. We discuss its generality for single-horizon black holes and the meaning in the loop quantum gravity.

arXiv comment5 pages, 1 figure, references and comments added

References in corpus (39)

• Discreteness of area and volume in quantum gravity
• Quantum Geometry and Black Hole Entropy
• Quantum Theory of Gravity I: Area Operators
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Spin Networks and Quantum Gravity
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Quantum Gravity and Regge Calculus
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
• Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole
• Gauge symmetry breaking on orbifolds
• On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole
• Decay of charged scalar field around a black hole: quasinormal modes of R-N, R-N-AdS and dilaton black holes
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Quasi normal modes in Schwarzschild-DeSitter spacetime: A simple derivation of the level spacing of the frequencies
• Highly damped quasinormal modes of Kerr black holes
• Quasi normal modes: A simple derivation of the level spacing of the frequencies
• Dirty black holes: Quasinormal modes
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• Quasi-normal modes of charged, dilaton black holes
• Quasinormal modes of the electrically charged dilaton black hole
• On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
• On area and entropy of a black hole
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Internal Structure of Einstein-Yang-Mills Black Holes
• Supersymmetric Spin Networks and Quantum Supergravity
• Dirty black holes: Quasinormal modes for "squeezed" horizons
• Area spectrum and quasinormal modes of black holes
• Numerical analysis of quasinormal modes in nearly extremal Schwarzschild-de Sitter spacetimes
• Quasinormal modes prefer supersymmetry ?
• Mass inflation and chaotic behaviour inside hairy black holes
• Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
• Approach to the extremal limit of the Schwarzschild-de Sitter black hole
• Non-Quasinormal Modes and Black Hole Physics
• Black Hole Entropy from Spin One Punctures
• Singularities inside non-Abelian black holes
• Axial perturbations of general spherically symmetric spacetimes
• Internal structure of Skyrme black hole

Cited by in corpus (16)

• Quasinormal modes of black holes: from astrophysics to string theory
• Quasinormal modes and classical wave propagation in analogue black holes
• Area spectra of the rotating BTZ black hole from quasinormal modes
• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• High frequency quasi-normal modes for black-holes with generic singularities
• High frequency quasi-normal modes for black holes with generic singularities II: Asymptotically non-flat spacetimes
• Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Quasi-normal modes of the scalar hairy black hole
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Continuous area spectrum in regular black hole
• Ambiguity of black hole entropy in loop quantum gravity
• Universality of Highly Damped Quasinormal Modes for Single Horizon Black Holes
• Holographic bound in covariant loop quantum gravity