Stability of Schwarzschild black holes in fourth-order gravity revisited
classification
🌀 gr-qc
hep-th
keywords
blackfourth-ordergravityholestabilityinstabilityschwarzschildalpha
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We revisit the classical stability of Schwarzschild black hole in fourth-order theories of gravity. On the contrary of the stability of this black hole, it turns out that the linearized perturbations exhibit unstable modes featuring the Gregory-Laflamme instability of five-dimensional black string. This shows clearly an instability of black hole in fourth-order gravity with $\alpha=-\beta/3$.
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