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arXiv · 0802.0267

(In)stability of D-dimensional black holes in Gauss-Bonnet theory

R. A. Konoplya·A. Zhidenko
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Abstract

We make an extensive study of evolution of gravitational perturbations of D-dimensional black holes in Gauss-Bonnet theory. There is an instability at higher multi-poles $\ell$ and large Gauss-Bonnet coupling $α$ for $D= 5, 6$, which is stabilized at higher $D$. Although small negative gap of the effective potential for scalar type of gravitational perturbations, exists for higher $D$ and whatever $α$, it does not lead to any instability.

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R. A. Konoplya, A. Zhidenko. 2008-02-04. (In)stability of D-dimensional black holes in Gauss-Bonnet theory. https://doi.org/10.1103/physrevd.77.104004

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