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

TL;DR

This paper investigates the asymptotic quasinormal modes of Gauss-Bonnet black holes, revealing the appearance of the ln(3) term in the real part of frequencies for large but finite damping, using combined analytic and numeric methods.

Contribution

It introduces a novel approach combining analytic and numeric techniques to compute quasinormal modes of Gauss-Bonnet black holes at large damping.

Findings

ln(3) appears in the real part of frequencies at large damping

Standard analytic methods are insufficient for infinite damping cases

The Gauss-Bonnet coupling lpha is much smaller than the black hole parameter eta

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, $\alpha$, is taken to be much smaller than the parameter $\mu$, which is related to the black hole mass.