Horizon instability of extremal Reissner-Nordström black holes to charged perturbations
arXiv:1612.03172 · doi:10.1103/PhysRevD.95.124032
Abstract
We investigate the stability of highly charged Reissner-Nordström 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.
Added appendix on symmetries and QNMs
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