(In)stability of D-dimensional black holes in Gauss-Bonnet theory
Abstract
Description
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.
8 pages, 6 figures, 3 tables
8 pages, 6 figures, 3 tables