## Séminaire de Géométrie

**General Relativity in higher dimensions**

Christos Charmousis (Orsay)

vendredi 01 octobre 2010 14:00 - Tours - Salle 2290 (Bât E2)

**Résumé :**

I will discuss the extension of General Relativity (GR) theory in arbitrary dimensions. The theory in question, mainly introduced by Lovelock in the 70's, will have very specific and unique physical and geometric properties which we will try to portray in non technical terms. We will then give black hole solutions to this theory, relate them to the ordinary GR black holes and extend one of the classic black hole theorems, Birkhoff's theorem, to Lovelock theory. Birkhoff's theorem basically tells us that a spherically symmetric solution of GR in the vacuum is locally static and unique. This simple statement has important consequences ranging from calculating the gravitational field of (almost) spherical objects, verifying the validity of GR in the solar system, the relevance of black holes in GR, or to (the absence of) gravitational radiation.

**Liens :**