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Stability of Generalised Static Black Holes in Higher Dimensions

Hideo Kodama·Akihiro Ishibashi
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Abstract

We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations derived by the authors recently. In particular, we show that the stability of higher-dimensional Schwarzschild black holes can be proved with the help of a technique called S-deformation of the master equations. We also point out that higher-dimensional static black holes might be unstable only against scalar-type perturbations in the neutral case and in the charged case with spherically symmetric or flat horizons.

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Hideo Kodama, Akihiro Ishibashi. 2003-12-02. Stability of Generalised Static Black Holes in Higher Dimensions. https://arxiv.org/abs/gr-qc/0312012

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