Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations

  title={Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations},
  author={Gustavo Dotti and R. Gleiser},
  journal={Classical and Quantum Gravity},
We analyse the tensor mode perturbations of static, spherically symmetric solutions of the Einstein equations with a quadratic Gauss–Bonnet term in dimension D > 4. We show that the evolution equations for this type of perturbation can be cast in a Regge–Wheeler–Zerilli form, and obtain the exact potential for the corresponding Schrodinger-like stability equation. As an immediate application we prove that for D ≠ 6 and α > 0, the sign choice for the Gauss–Bonnet coefficient suggested by string… Expand

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