Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes

Abstract

We determine the quasinormal frequencies for all gravitational perturbations of the d-dimensional Schwarzschild black hole, in the infinite damping limit. Using the potentials for gravitational perturbations derived recently by Ishibashi and Kodama, we show that in all cases the asymptotic real part of the frequency is proportional to the Hawking temperature with a coefficient of log 3. Via the correspondence principle, this leads directly to an equally spaced entropy spectrum. We comment on the possible implications for the spacing of eigenvalues of the Virasoro generator in the associated near-horizon conformal algebra.

8 pages, Latex, v2: Additional references, minor changes

References in corpus (14)

• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• 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
• Gravitational Radiation in D-dimensional Spacetimes
• Gravitational instability in higher dimensions
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• WKB analysis of the Regge-Wheeler equation down in the frequency plane
• Area spectrum and quasinormal modes of black holes
• Kerr black hole quasinormal frequencies
• Greybody factors at large imaginary frequencies
• Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
• An analytical computation of asymptotic Schwarzschild quasinormal frequencies

Cited by in corpus (41)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Gravitational quasinormal radiation of higher-dimensional 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
• Quasinormal modes of D-dimensional de Sitter spacetime
• Highly damped quasinormal modes of Kerr black holes
• Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Dirty black holes: Quasinormal modes
• Stability of multidimensional black holes: complete numerical analysis
• Area Spectrum of Extremal Reissner-Nordström Black Holes from Quasi-normal Modes
• Decoupling and non-decoupling dynamics of large D black holes
• Area Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal Modes
• Electromagnetic quasinormal modes of D-dimensional black holes
• Dirac quasinormal modes of D-dimensional de Sitter spacetime
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes
• Numerical analysis of quasinormal modes in nearly extremal Schwarzschild-de Sitter spacetimes
• Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild 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
• Stretched horizons, quasiparticles and quasinormal modes
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Electromagnetic quasinormal modes of D-dimensional black holes II
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum
• Asymptotic quasinormal modes of string-theoretical $d$-dimensional black holes
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Accurate Quasinormal Modes of the Five-Dimensional Schwarzschild-Tangherlini Black Holes
• The universal area spectrum in single-horizon black holes
• Continuous area spectrum in regular black hole
• The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes
• Ambiguity of black hole entropy in loop quantum gravity
• Perturbations of Schwarzschild black holes in laboratories
• On the Classification of Asymptotic Quasinormal Frequencies for d-Dimensional Black Holes and Quantum Gravity
• Asymptotic quasinormal modes of scalar field in a gravity's rainbow
• Area Spectrum of Near Extremal Black Branes from Quasi-normal Modes
• Entropy spectra of single horizon black holes in two dimensions
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes