paper

Analytic calculation of quasi-normal modes

arXiv:0804.2713 · doi:10.1007/978-3-540-88460-6_12

Abstract

We discuss the analytic calculation of quasi-normal modes of various types of perturbations of black holes both in asymptotically flat and anti-de Sitter spaces. We obtain asymptotic expressions and also show how corrections can be calculated perturbatively. We pay special attention to low-frequency modes in anti-de Sitter space because they govern the hydrodynamic properties of a gauge theory fluid according to the AdS/CFT correspondence. The latter may have experimental consequencies for the quark-gluon plasma formed in heavy ion collisions.

33 pages, prepared for the proceedings of the 4th Aegean Summer School on Black Holes, Mytilene, Greece, September 2007

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