Exact Gravitational Quasinormal Frequencies of Topological Black Holes

Details Exact Gravitational Quasinormal Frequencies of Topological Black Holes Exact Gravitational Quasinormal Frequencies of Topological Black Holes

2006-09-04

arxiv.org/abs/hep-th/0609028v2

Phys.Rev.D74:084026,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex; v2 additional references

Scientific paper

10.1103/PhysRevD.74.084026

We compute the exact gravitational quasinormal frequencies for massless topological black holes in d-dimensional anti-de Sitter space. Using the gauge invariant formalism for gravitational perturbations derived by Kodama and Ishibashi, we show that in all cases the scalar, vector, and tensor modes can be reduced to a simple scalar field equation. This equation is exactly solvable in terms of hypergeometric functions, thus allowing an exact analytic determination of the gravitational quasinormal frequencies.

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