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

R. G. Daghigh·G. Kunstatter·J. Ziprick
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Abstract

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.

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R. G. Daghigh, G. Kunstatter, J. Ziprick. 2006-11-27. The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes. https://doi.org/10.1088/0264-9381%2F24%2F8%2F005

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