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

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

2008-02-04

arxiv.org/abs/0802.0267v1

Phys.Rev.D77:104004,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 6 figures, 3 tables

Scientific paper

10.1103/PhysRevD.77.104004

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.

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