The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes

Details The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes

2006-11-27

arxiv.org/abs/gr-qc/0611139v1

Class.Quant.Grav.24:1981-1992,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages and 5 figures

Scientific paper

10.1088/0264-9381/24/8/005

We analyze the quasinormal modes of $D$-dimensional Schwarzschild black holes with the Gauss-Bonnet correction in the large damping limit and show that standard analytic techniques cannot be applied in a straightforward manner to the case of infinite damping. However, by using a combination of analytic and numeric techniques we are able to calculate the quasinormal mode frequencies in a range where the damping is large but finite. We show that for this damping region the famous $\ln(3)$ appears in the real part of the quasinormal mode frequency. In our calculations, the Gauss-Bonnet coupling, $\alpha$, is taken to be much smaller than the parameter $\mu$, which is related to the black hole mass.

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