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arXiv · 1511.06059

Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion

Kentaro Tanabe
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Abstract

We study large D effective theory for D dimensional charged (Anti) de Sitter black holes. Then we show that de Sitter Reissner-Nordstrom black hole becomes unstable against gravitational perturbations at larger charge than certain critical value in higher dimension. Furthermore we find that there is a non-trivial zero-mode static perturbation at the critical charge. The existence of static perturbations suggests the appearance of non-spherical symmetric solution branches of static charged de Sitter black hole. This expectation is confirmed by constructing the non-spherical symmetric static solutions of large D effective equations.

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Kentaro Tanabe. 2016-05-17. Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion. https://doi.org/10.1088/0264-9381%2F33%2F12%2F125016

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