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SUMMARY:The Aretakis instability as a critical phenomenon  - Peter Zimmerm
 an (AEI-Potsdam/Golm)
DTSTART:20181123T130000Z
DTEND:20181123T140000Z
UID:TALK111220@talks.cam.ac.uk
CONTACT:Nathan Johnson-McDaniel
DESCRIPTION:Perturbations of extremal black holes are asymptotically self-
 similar under the near-horizon\, late-time scaling symmetry of the backgro
 und metric. In this talk\, I will explain why this effect is universal and
  how it accounts for the Aretakis instability (growth of transverse deriva
 tives) as a critical phenomenon associated with the emergent symmetry.  Fo
 r the extremal Kerr black hole\,  I'll present results showing that the de
 cay of each perturbing mode is characterized by a critical exponent. A sim
 ple argument for why all generally covariant scalar quantities decay to ze
 ro despite the growth of transverse derivatives will follow.  \n
LOCATION:Pavilion B Potter Room (B1.19)
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