Gr@v Seminar - Extremal Kerr Killing vectors and conformal isometries of Reissner-Nordstrom-de Sitter - 4 março 2013

By NelmaS on Qui, 28/02/2013 - 16:38
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Extremal Kerr Killing vectors and conformal isometries of Reissner-Nordstrom-de Sitter

Helgi Rúnarsson

U. Aveiro

 

Abstract / Resumo

In this talk I will discuss peculiar mathematical properties of two types of black hole spacetimes, the extremal Kerr spacetime and the Reissner-Nordström-de Sitter spacetime.

The horizon Killing vector field of the extremal Kerr spacetime is null on a timelike hypersurface that crosses the horizon at a fixed latitude and is spacelike on both sides of the horizon in the equatorial plane. This is consistent with the fact that there exist timelike Killing vectors everywhere off the horizon.

The extremal Reissner-Nordström black hole possesses a discrete conformal isometry that exchanges the black hole horizon with infinity. The lukewarm RNdS spacetime possesses a similar discrete conformal isometry which exchanges the event horizon of the black hole with the cosmological horizon. It turns out that this conformal isometry can be extended further in the spacetime and that is there are other pairs of hypersurfaces that are exchanged under the isometry.

 

4 de março de 2013 | 14:30

 

Local

Physics Amphitheatre
Physics Department Aveiro University
Campus de Santiago
3810-183 Aveiro, Portugal