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

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arxiv 1612.03172 v4 pith:VFGRW4X3 submitted 2016-12-09 gr-qc

Peter Zimmerman This is my paper · ORCID
classification gr-qc
keywords chargedextremalinstabilityperturbationsblackholesnear-horizonrates
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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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Cited by 1 Pith paper

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  1. Approaching a dynamical extreme black hole horizon

    hep-th 2025-12 conditional novelty 6.0 of 10

    Explicit JT-gravity solutions give closed-form descriptions of the late-time approach to dynamical extreme Reissner-Nordström black holes with persistent Aretakis instability.

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