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The Aretakis instability as a critical phenomenon

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Perturbations of extremal black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. In this talk, I will explain why this effect is universal and how it accounts for the Aretakis instability (growth of transverse derivatives) as a critical phenomenon associated with the emergent symmetry. For the extremal Kerr black hole, I’ll present results showing that the decay of each perturbing mode is characterized by a critical exponent. A simple argument for why all generally covariant scalar quantities decay to zero despite the growth of transverse derivatives will follow.

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

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