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arXiv · 1612.03172

Horizon instability of extremal Reissner-Nordstr\"om black holes to charged perturbations

Peter Zimmerman
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Abstract

We investigate the stability of highly charged Reissner-Nordstr\"om black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability which becomes the Aretakis instability in the extremal limit. The rates we obtain match the enhanced rates for nonaxisymmetric perturbations of the near-extremal and extremal Kerr solutions. The agreement is shown to arise from a shared near-horizon symmetry of the two scenarios.

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Peter Zimmerman. 2016-12-09. Horizon instability of extremal Reissner-Nordstr\"om black holes to charged perturbations. https://doi.org/10.1103/physrevd.95.124032

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