Asymptotics of Quasi-normal Modes for Multi-horizon Black Holes

Abstract

The issue concerning rigorous methods recently developed in deriving the asymptotics of quasi-normal modes is revisited and applied to a generic non rotating multi-horizon black holes solution. Some examples are illustrated and the single horizon cases are also considered. As a result, the asymptotics for large angular momentum parameter is shown to depend on the difference between the maximal or Nariai black hole mass and the ordinary black hole mass. The extremal limit is also discussed and the exact evaluation of the quasi-normal frequencies related to the Nariai space-time is presented, as a consistent check of the general asymptotic formula.

18 pages, Latex, misprints corrected, references added

References in corpus (11)

• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Quasi normal modes in Schwarzschild-DeSitter spacetime: A simple derivation of the level spacing of the frequencies
• Quasi normal modes: A simple derivation of the level spacing of the frequencies
• Non-Rotating BTZ Black Hole Area Spectrum from Quasi-normal Modes
• Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
• Dirty black holes: Quasinormal modes
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Dirty black holes: Quasinormal modes for "squeezed" horizons
• Greybody factors at large imaginary frequencies
• Near Extremal Schwarzschild-de Sitter Black Hole Area Spectrum from Quasi-normal Modes
• Analytic determination of the asymptotic quasi-normal mode spectrum of small Schwarzschild-de Sitter black holes

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