University of Cambridge > Talks.cam > DAMTP Friday GR Seminar >  Conformally isometric embeddings and Hawking temperature

Conformally isometric embeddings and Hawking temperature

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Nathan Johnson-McDaniel.

We find necessary and sufficient conditions for existence of a locally isometric embedding of a vacuum space-time into a conformally-flat 5-space. We explicitly construct such embeddings for any spherically symmetric Lorentzian metric in 3+1 dimensions as a hypersurface in 4+1 dimensional Minkowski space. For the Schwarzschild metric the embedding is global, 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 Penrose’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. The talk is based on a joint work with Paul Tod arXiv:1812.05468

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

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity