The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit

Abstract

We analyze in detail the highly damped quasinormal modes of $d$-dimensional Reissner-Nordstr$\ddot{\mathrm{o}}$m black holes with small charge, paying particular attention to the large but finite damping limit in which the Schwarzschild results should be valid. In the infinite damping limit, we confirm using different methods the results obtained previously in the literature for higher dimensional Reissner-Nordstr$\ddot{\mathrm{o}}$m black holes. Using a combination of analytic and numerical techniques we also calculate the transition of the real part of the quasinormal mode frequency from the Reissner-Nordstr$\ddot{\mathrm{o}}$m value for very large damping to the Schwarzschild value of $\ln (3)T_{bh}$ for intermediate damping. The real frequency does not interpolate smoothly between the two values. Instead there is a critical value of the damping at which the topology of the Stokes/anti-Stokes lines change, and the real part of the quasinormal mode frequency dips to zero.

18 pages, 8 figures

References in corpus (65)

• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Stability of Higher-Dimensional Schwarzschild Black Holes
• 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
• Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
• Quasinormal modes and classical wave propagation in analogue black holes
• Gravitational instability in higher dimensions
• Gravitational quasinormal radiation of higher-dimensional black holes
• Massive quasi-normal mode
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Area spectrum of the Schwarzschild black hole
• Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations
• Quasinormal modes of the charged black hole in Gauss-Bonnet gravity
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Asymptotic Quasinormal Frequencies for Black Holes in Non-Asymptotically Flat Spacetimes
• Quasi normal modes in Schwarzschild-DeSitter spacetime: A simple derivation of the level spacing of the frequencies
• Quasinormal modes of d-dimensional spherical black holes with a near extreme cosmological constant
• Highly damped quasinormal modes of Kerr black holes
• Dirac quasinormal modes of the Reissner-Nordström de Sitter black hole
• Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes
• On the Quantum Levels of Isolated Spherically Symmetric Gravitational Systems
• Dirty black holes: Quasinormal modes
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Quasinormal modes in pure de sitter spacetimes
• Area Spectrum of Extremal Reissner-Nordström Black Holes from Quasi-normal Modes
• Quick and dirty methods for studying black-hole resonances
• Quasinormal modes, Superradiance and Area Spectrum for 2+1 Acoustic Black Holes
• Dirac Quasinormal modes of Schwarzschild black hole
• Area Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal Modes
• Exact Physical Black Hole States in Generic 2-D Dilaton Gravity
• WKB analysis of the Regge-Wheeler equation down in the frequency plane
• Gravitational quasinormal modes for Kerr Anti-de Sitter black holes
• Mass Quantization of the Schwarzschild Black Hole
• Dirac quasinormal frequencies of Reissner-Nordström black hole in Anti-de Sitter spacetime
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Quantum-mechanical model of the Kerr-Newman black hole
• Dirty black holes: Quasinormal modes for "squeezed" horizons
• Area spectrum and quasinormal modes of black holes
• Kerr black hole quasinormal frequencies
• Numerical analysis of quasinormal modes in nearly extremal Schwarzschild-de Sitter spacetimes
• Asymptotic quasinormal modes of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime
• Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
• High frequency quasi-normal modes for black-holes with generic singularities
• Quasinormal modes of charged black holes in string theory
• High overtones of Dirac perturbations of a Schwarzschild black hole
• Asymptotics of Quasi-normal Modes for Multi-horizon Black Holes
• Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
• Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity
• Approach to the extremal limit of the Schwarzschild-de Sitter black hole
• Hawking temperature from quasi-normal modes
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Perturbative calculation of quasi-normal modes of Schwarzschild black holes
• On quasi-normal modes of Kerr black holes
• The universal area spectrum in single-horizon black holes
• Quasinormal modes in Schwarschild black holes due to arbitrary spin fields
• Neutrino Quasinormal Modes of a Kerr-Newman-de Sitter Black Hole
• Area Quantization in Quasi-Extreme Black Holes
• The spectrum of quantum black holes and quasinormal modes
• Numerical simulation of Quasi-Normal Modes in time-dependent background
• Quasinormal modes for Weyl neutrino field in R-N black holes

Cited by in corpus (20)

• Lovelock black holes with a nonlinear Maxwell field
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Massive scalar field quasi-normal modes of higher dimensional black holes
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
• Split fermion quasi-normal modes
• Dirac quasinormal modes of D-dimensional de Sitter spacetime
• A Detailed Analytic Study of the Asymptotic Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Electromagnetic quasinormal modes of D-dimensional black holes II
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
• Quasinormal modes and hidden conformal symmetry in the Reissner-Nordstrom black hole
• Perturbative Calculation of Quasinormal Modes of $d$--Dimensional Black Holes
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• High Overtone Quasinormal Modes of Analog Black Holes and the Small Scale Structure of the Background Fluid
• Non-extremal Reissner-Nordstrom black hole: Do asymptotic quasi-normal modes carry information about the quantum properties of the black hole?
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes