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

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 $\alpha$ 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 $\alpha$, it does not lead to any instability.

8 pages, 6 figures, 3 tables

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