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

@article{Konoplya2008InstabilityOD,
  title={(In)stability of D-dimensional black holes in Gauss-Bonnet theory},
  author={R. A. Konoplya and Alexander Zhidenko},
  journal={Physical Review D},
  year={2008},
  volume={77},
  pages={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 multipoles l and large Gauss-Bonnet coupling {alpha} for D=5, 6, which is stabilized at higher D. Although a small negative gap of the effective potential for the scalar type of gravitational perturbations exists for higher D and whatever {alpha}, it does not lead to any instability. 

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