Bonn 2010 – scientific programme

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SYBH: Symposium Black Holes

SYBH 1: Symposium Black Holes (SYBH)

SYBH 1.1: Invited Talk

Monday, March 15, 2010, 13:15–13:50, HG Aula

From the Geometry of Spacetime to the Geometry of Numbers — •Stefan Hollands — School of Mathematics, Cardiff University, Senghennydd Road CARDIFF, Wales, UK. CF24 4AG

The first aim of the talk is to give a general introduction to basic properties of black holes, including their thermodynamic properties ("Laws of Black Hole Mechanics") and their symmetry properties. I then report on recent progress on the problem how to classify (stationary) black hole solutions, not just in dimensions four, but more generally in higher dimensions. This is of current interest because higher dimensions occur naturally in various theories attempting a unification of the forces in Nature, and it is important to know to what extent the "No Hair-Theorems" for four-dimensions black holes continue to hold in such contexts. I finally explain some amusing connections of this problem to concepts in number theory such as to continued fractions, lattices, and to "Farey tees".