The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
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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, $α$, is taken to be much smaller than the parameter $μ$, which is related to the black hole mass.
12 pages and 5 figures
12 pages and 5 figures