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

Roman Konoplya
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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 $α$ which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large $α$ the quasinormal modes are proportional to $α$, while as $α$ 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.

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Roman Konoplya. 2005-02-06. Quasinormal modes of the charged black hole in Gauss-Bonnet gravity. https://doi.org/10.1103/physrevd.71.024038

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