Quasi-normal modes of AdS black holes : A superpotential approach

Details Quasi-normal modes of AdS black holes : A superpotential approach Quasi-normal modes of AdS black holes : A superpotential approach

2000-07-31

arxiv.org/abs/gr-qc/0007084v2

Class.Quant.Grav. 18 (2001) 265-276

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 17 pages, 5 eps figures, 1 eepic figure, minor typos corrected

Scientific paper

10.1088/0264-9381/18/2/306

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained exactly and are proportional to the surface gravity. Using this approach, the quasi-normal modes of the five dimensional Schwarzschild anti-deSitter black hole are computed numerically. The modes again seem to be proportional to the surface gravity for very small and very large black holes. They reflect the well-known instability of small black holes in anti-deSitter space.

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