A J M Medved et al 2004 Class. Quantum Grav. 21 1393 doi:10.1088/0264-9381/21/6/008
A J M Medved, Damien Martin and Matt Visser
Show affiliationsIn 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.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)
Issue 6 (21 March 2004)
Received 9 October 2003
Published 20 February 2004
A J M Medved et al 2004 Class. Quantum Grav. 21 1393
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