Dirty black holes: Quasinormal modes
arXiv:gr-qc/0310009 · doi:10.1088/0264-9381/21/6/008
Abstract
In this paper, we investigate the asymptotic nature of the quasinormal modes for "dirty" black holes -- generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary "matter" fields. We demonstrate that, to the leading asymptotic order, the [imaginary] spacing between modes is precisely equal to the surface gravity, independent of the specifics of the black hole system. Our analytical method is based on locating the complex poles in the first Born approximation for the scattering amplitude. We first verify that our formalism agrees, asymptotically, with previous studies on the Schwarzschild black hole. The analysis is then generalized to more exotic black hole geometries. We also extend considerations to spacetimes with two horizons and briefly discuss the degenerate-horizon scenario.
15 pages; uses iopart.cls setstack.sty; V2: one additional reference added, no physics changes; V3: two extra references, minor changes in response to referee comments
References in corpus (41)
- Quasi-Normal Modes of Stars and Black Holes
- 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
- d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
- Dirty blackholes: Thermodynamics and horizon structure
- 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
- Evolving test-fields in a black-hole geometry
- Quasi-normal modes of Schwarzschild-de Sitter black holes
- Gravitational Radiation in D-dimensional Spacetimes
- Gravitational quasinormal radiation of higher-dimensional black holes
- Quasinormal modes of Schwarzschild black holes in four and higher dimensions
- Dirty black holes: Entropy as a surface term
- Spin-2 fields on Minkowski space near space-like and null infinity
- Quasinormal modes of d-dimensional spherical black holes with a near extreme cosmological constant
- Highly damped quasinormal modes of Kerr black holes
- Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole
- Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
- Dirty black holes: Entropy versus area
- On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
- Quick and dirty methods for studying black-hole resonances
- WKB analysis of the Regge-Wheeler equation down in the frequency plane
- Quasinormal modes of nearly extreme Reissner-Nordstrom black holes
- Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
- Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
- Area spectrum and quasinormal modes of black holes
- Kerr black hole quasinormal frequencies
- Quasinormal modes for the SdS black hole : an analytical approximation scheme
- Greybody factors at large imaginary frequencies
- Quasinormal modes prefer supersymmetry ?
- Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
- Approach to the extremal limit of the Schwarzschild-de Sitter black hole
- Black Hole Entropy from Spin One Punctures
- On quasi-normal modes of Kerr black holes
- The spectrum of quantum black holes and quasinormal modes
- Area Quantization in Quasi-Extreme Black Holes
- Analytic determination of the asymptotic quasi-normal mode spectrum of small Schwarzschild-de Sitter black holes
- Asymptotic quasinormal mode spectrum of rotating black holes
- The Pauli Exclusion Principle and SU(2) vs. SO(3) in Loop Quantum Gravity
- Dirac Quasi-Normal Modes in Schwarzschild Black Hole Spacetimes
Cited by in corpus (62)
- Quasinormal modes of black holes and black branes
- Quasinormal modes of black holes: from astrophysics to string theory
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- The physical interpretation of the spectrum of black hole quasinormal modes
- Lanczos-Lovelock models of gravity
- Quasinormal ringing of Kerr black holes: The excitation factors
- Bounding the greybody factors for Schwarzschild black holes
- Asymptotic Quasinormal Frequencies for Black Holes in Non-Asymptotically Flat Spacetimes
- Quasinormal modes of test fields around regular black holes
- Quasi normal modes: A simple derivation of the level spacing of the frequencies
- Black hole quasinormal modes using the asymptotic iteration method
- Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
- High overtones of Schwarzschild-de-Sitter quasinormal spectrum
- Dirac Quasinormal modes of Schwarzschild black hole
- Quasi-normal frequencies: Key analytic results
- General theories of linear gravitational perturbations to a Schwarzschild Black Hole
- 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 overtones of Dirac perturbations of a Schwarzschild black hole
- 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
- Asymptotics of Quasi-normal Modes for Multi-horizon Black Holes
- Absorption by dirty black holes: null geodesics and scalar waves
- Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
- Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
- Intermediate Asymptotics of the Kerr Quasinormal Spectrum
- Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
- Semiclassical black holes expose forbidden charges and censor divergent densities
- Delocalization of brane gravity by a bulk black hole
- The universal area spectrum in single-horizon black holes
- The Highly Damped Quasinormal Modes of -dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
- Tidal forces in dirty black hole spacetimes
- Continuous area spectrum in regular black hole
- Semi-analytic results for quasi-normal frequencies
- Quasinormal modes of dirty black holes in the two-loop renormalizable effective gravity
- Ambiguity of black hole entropy in loop quantum gravity
- Regge pole description of scattering by dirty black holes
- Quasinormal modes for arbitrary spins in the Schwarzschild background
- Quasinormal modes of black holes encircled by a gravitating thin disk
- Highly-damped quasi-normal frequencies for piecewise Eckart potentials
- Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
- Testing pseudo-complex general relativity with gravitational waves
- No asymptotically highly damped quasi-normal modes without horizons?
- On the Classification of Asymptotic Quasinormal Frequencies for d-Dimensional Black Holes and Quantum Gravity
- A note on quasinormal modes: A tale of two treatments
- The ringdown of a black hole surrounded by a thin shell of matter
- Analytical expression for a class of spherically symmetric solutions in Lorentz breaking massive gravity
- pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
- Horizon spectroscopy in and beyond general relativity
- Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
- On Born approximation in black hole scattering
- Quasinormal modes and horizon area quantisation in Loop Quantum Gravity
- Hidden conformal symmetries for black holes in modified gravity
- Quasi-normal frequencies: Semi-analytic results for highly damped modes
- Comment on "Quasinormal modes in Schwarzschild-de Sitter spacetime: A simple derivation of the level spacing of the frequencies"
- Reply to [arXiv:1105.5653]: "Comment on 'Quasinormal modes in Schwarzschild-de Sitter spacetime: A simple derivation of the level spacing of the frequencies'"
- Tidal forces around the Letelier-Alencar cloud of strings black hole
- Much ado about nothing: a treatise on empty and not-so-empty spacetimes
- Quantization of horizon entropy and the thermodynamics of spacetime
- Gravitational Bound State Perturbations Inside Black Holes and Isospectrality