Horizon instability of extremal Reissner-Nordström black holes to charged perturbations

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 nonaxisy...

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Veröffentlicht in:Physical review. D 2017-06, Vol.95 (12), Article 124032
1. Verfasser: Zimmerman, Peter
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.124032