Quasinormal modes of the charged black hole in Gauss-Bonnet gravity

TL;DR

This paper calculates the quasinormal modes of charged black holes in Gauss-Bonnet gravity, revealing how these modes depend on the Gauss-Bonnet coupling and differ from Einstein black holes.

Contribution

It provides the first detailed analysis of quasinormal modes for charged black holes in Gauss-Bonnet gravity, highlighting their dependence on the coupling parameter and contrasting with Einstein gravity results.

Findings

Quasinormal modes depend on the Gauss-Bonnet coupling parameter.

At large coupling, modes are proportional to the coupling; at zero, they match Schwarzschild values.

Damping rate decreases monotonically with charge, unlike in Einstein black holes.

Abstract

The d-dimensional string generated gravity models lead to Einstein-Maxwell equations with quadratic order correction term called the Gauss-Bonnet term. We calculate the quasinormal modes for the d-dimensional charged black hole in the framework of this model. The quasinormal spectrum essentially depends upon the Gauss-Bonnet coupling parameter $\alpha$ which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large $\alpha$ the quasinormal modes are proportional to $\alpha$, while as $\alpha$ goes to zero the qusinormal modes approach their Schwarzschild values. In contrary to Einstein theory black hole behavior, the damping rate of the charged GB black hole as a function of charge does not contain a chracteristic maximum, but instead the monotonic falling down is observed. In addition, there have been obtained an asymptotic formula for large multipole numbers.