University of Cambridge > Talks.cam > DAMTP Friday GR Seminar > On the horizon instability of an extreme Reissner-Nordstr\"om black hole

On the horizon instability of an extreme Reissner-Nordstr\"om black hole

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Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\”om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized gravitational and electromagnetic perturbations. We present numerical results for the late time behaviour of massless and massive scalar fields in the extreme RN background and show that instabilities are present for initial perturbations supported outside the horizon, e.g. an ingoing wavepacket. We also present recent results on non-linear time evolution of the instability.

This talk is part of the DAMTP Friday GR Seminar series.

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