Asymptotic form of quasi-normal modes of large AdS black holes

Details Asymptotic form of quasi-normal modes of large AdS black holes Asymptotic form of quasi-normal modes of large AdS black holes

2003-08-28

arxiv.org/abs/hep-th/0308196v1

Phys.Lett. B576 (2003) 309-313

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We discuss a method of calculating analytically the asymptotic form of quasi-normal frequencies for large AdS black holes in five dimensions. In this case, the wave equation reduces to a Heun equation. We show that the Heun equation may be approximated by a Hypergeometric equation at large frequencies. Thus we obtain the asymptotic form of quasi-normal frequencies in agreement with numerical results. We also present a simple monodromy argument that leads to the same results. We include a comparison with the three-dimensional case in which exact expressions are derived.

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