Rotating black holes in brane worlds

Abstract

We study interaction of rotating higher dimensional black holes with a brane in space-times with large extra dimensions. In the approximation when a black hole is slowly rotating and the tension of the brane is small we demonstrate that the black hole loses some angular momentum to the brane. As a result of this effect a black hole in its final stationary state can have only those components of the angular momenta which are connected with Killing vectors generating transformations preserving a position of the brane. The characteristic time when a rotating black hole with the gravitational radius r0 reaches this final state is T ∼ r0p−1/(Gσ), where G is the higher dimensional gravitational coupling constant, σ is the brane tension, and p is the number of extra dimensions.