Quasi-normal modes of AdS black holes : A superpotential approach
General Relativity and Quantum Cosmology
2009-10-31 v2 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0007084,
title = {Quasi-normal modes of AdS black holes : A superpotential approach},
author = {T. R. Govindarajan and V. Suneeta},
journal= {arXiv preprint arXiv:gr-qc/0007084},
year = {2009}
}
Comments
LaTeX, 17 pages, 5 eps figures, 1 eepic figure, minor typos corrected