Unstable Schwarzschild-Tangherlini black holes in fourth-order gravity

Abstract

We study the stability of Schwarzschild-Tangherlini (ST) black holes in fourth-order gravity which provides a higher dimensional linearized massive equation. The linearized-Ricci tensor perturbation is employed to exhibit unstable modes featuring the Gregory-Laflamme (GL) instability of higher dimensional black strings, in comparison to the stable ST black holes in Einstein gravity. It turns out that the GL instability of the ST black holes in the fourth-order gravity originates from the massiveness, but not a nature of fourth-order derivative theories giving ghost states.

10 pages. version to appear in PRD

References in corpus (8)

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• Critical Gravity in Four Dimensions
• Instabilities of Black Strings and Branes
• Critical Points of D-Dimensional Extended Gravities
• Modes of Log Gravity
• Stability of Schwarzschild black holes in fourth-order gravity revisited
• Origin of black string instability
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Cited by in corpus (10)

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• About the Cauchy problem in Stelle's quadratic gravity
• Gregory-Laflamme instability of BTZ black hole in new massive gravity
• Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes
• Traces of quantum fuzziness on the black hole shadow and particle deflection in the multi-fractional theory of gravity
• Fourth derivative gravity in the auxiliary fields representation and application to the black hole stability
• The background information about perturbative quantum gravity