Asymptotic black hole quasinormal frequencies
arXiv:hep-th/0301173
Abstract
We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real part is T_Hawking.log(3) for scalar perturbations and for some gravitational perturbations; this confirms a result previously obtained by other means in the case d=4. For Reissner-Nordstrom in d=4 we find a specific generally aperiodic behavior for the quasinormal frequencies, both for scalar perturbations and for electromagnetic-gravitational perturbations. The formulae are obtained by studying the monodromy of the perturbation analytically continued to the complex plane; the analysis depends essentially on the behavior of the potential in the "unphysical" region near the black hole singularity.
arXiv comment21 pages, 4 EPS figures, JHEP3 LaTeX; v2: references added, typos corrected, discussion expanded; v3: references added, small changes, clarified relation between Schwarzschild and Reissner-Nordstrom asymptotic frequencies (published version of text)
References in corpus (19)
- Discreteness of area and volume in quantum gravity
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Quantum Theory of Gravity I: Area Operators
- Real Ashtekar Variables for Lorentzian Signature Space-times
- 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
- Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole
- Gravitational Radiation in D-dimensional Spacetimes
- Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
- Gravitational instability in higher dimensions
- Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
- Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes
- On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
- A NEW NUMERICAL APPROACH TO THE OSCILLATION MODES OF RELATIVISTIC STARS
- WKB analysis of the Regge-Wheeler equation down in the frequency plane
- Quasinormal modes of nearly extreme Reissner-Nordstrom black holes
- Loop quantum gravity and quanta of space: a primer
- Greybody factors at large imaginary frequencies