Dirty black holes: Quasinormal modes

Details Dirty black holes: Quasinormal modes Dirty black holes: Quasinormal modes

2003-10-02

arxiv.org/abs/gr-qc/0310009v3

Class.Quant.Grav. 21 (2004) 1393-1406

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages; uses iopart.cls setstack.sty; V2: one additional reference added, no physics changes; V3: two extra references, mino

Scientific paper

10.1088/0264-9381/21/6/008

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.

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