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SUMMARY: Conformally isometric embeddings and Hawking  temperature - Macie
 j Dunajski (University of Cambridge)
DTSTART:20190125T130000Z
DTEND:20190125T140000Z
UID:TALK116728@talks.cam.ac.uk
CONTACT:Nathan Johnson-McDaniel
DESCRIPTION:We find necessary and sufficient conditions for existence of a
  locally isometric embedding of a vacuum space-time into a conformally-fla
 t 5-space. We explicitly construct such embeddings for any spherically sym
 metric Lorentzian metric in 3+1 dimensions as a hypersurface in 4+1 dimens
 ional Minkowski space. For the Schwarzschild metric the embedding is globa
 l\, and extends through the horizon all the way to the r=0 singularity. We
  discuss the asymptotic properties of the embedding in the context of Penr
 ose's theorem on Schwarzschild causality. We finally show that the Hawking
  temperature of the Schwarzschild metric agrees with the Unruh temperature
  measured by an observer moving along hyperbolae in 4+1 dimensions.\nThe t
 alk is based on a joint work with Paul Tod  arXiv:1812.05468
LOCATION:Pavilion B Potter Room (B1.19)
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