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Gravitational instability of Einstein–Gauss–Bonnet black holes under tensor mode perturbations
2004
Classical and quantum gravity
We analyze 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 perturbations can be cast in a Regge-Wheeler-Zerilli form, and obtain the exact potential for the corresponding Schrödinger-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
doi:10.1088/0264-9381/22/1/l01
fatcat:25k2wdppszb5voqmdgo2kuvg5y