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arXiv · 2005.03673

The origin of the Reissner-Nordstr\"om de Sitter instability

Oscar J. C. Dias·Jorge E. Santos
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Abstract

We give strong numerical evidence for the existence of an instability afflicting six-dimensional Reissner-Nordstr\"om de Sitter (RNdS) black holes. This instability is akin of the Konoplya-Zhidenko instability present in RNdS black holes in seven spacetime dimensions and above. Moreover, we perform a detailed analysis of the near-horizon limit of extremal RNdS black holes, and find that unstable gravitational modes effectively behave as a massive scalar field whose mass violates the AdS$_2$ Breitenl\"ohner-Freedman bound (if and only if $d\geq 6$), thus providing a physical argument for the existence of the instability. Finally, we show that the frequency spectrum of perturbations of RNdS has a remarkable intricate structure with several bifurcations/mergers that appears unique to RNdS black holes

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Oscar J. C. Dias, Jorge E. Santos. 2020-05-07. The origin of the Reissner-Nordstr\"om de Sitter instability. https://doi.org/10.1103/physrevd.102.124039

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