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Critical phenomena and the Aretakis instability of extremal black hole perturbations

Starts at:Wed 23 Jan 2019, 14:00
Speaker:Peter ZimmermanInstitute:Max Planck Institute for Gravitational Physics Pot

Abstract: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. Taking Kerr as an example, I will show how the decay of each perturbing mode is characterized by a critical exponent after defining suitable notions of weak and strong self-similarity. I will end with a simple argument for why all generally covariant scalar quantities decay to zero despite the growth of transverse derivatives.


Seminartype:Ordinary
Room:Seminarraum 0.01
 
Contact: Alexander Prostimkin