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SUMMARY:Non-linear stability of Kerr-de Sitter black holes - Peter Hintz (
 Berkeley)
DTSTART:20161014T140000Z
DTEND:20161014T150000Z
UID:TALK67463@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:In joint work with András Vasy\, we prove the stability of th
 e Kerr-de Sitter family of black holes as solutions of the initial value p
 roblem for the Einstein vacuum equations with positive cosmological consta
 nt\, for small angular momenta but without any symmetry assumptions on the
  initial data. I will explain the general framework which enables us to de
 al systematically with the diffeomorphism invariance of Einstein's equatio
 ns\, and thus how our solution scheme finds a suitable (wave map type) gau
 ge within a carefully chosen finite-dimensional family of gauges\; I will 
 also address the issue of finding the mass and the angular momentum of the
  final black hole.
LOCATION:CMS\, MR14
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