A hairy black hole solution is constructed in Einstein-Gauss-Bonnet gravity and shown to be stable under odd parity perturbations when a scalar field profile parameter satisfies a positivity condition on the Regge-Wheeler potential.
Seaborn, Hypergeometric functions and their applications , (Springer-Verlag, New York, 1991)
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Hairy black hole stability under odd parity perturbations in the Einstein-Gauss-Bonnet model
A hairy black hole solution is constructed in Einstein-Gauss-Bonnet gravity and shown to be stable under odd parity perturbations when a scalar field profile parameter satisfies a positivity condition on the Regge-Wheeler potential.