Speaker
Description
The classification of higher dimensional black holes is a major open problem in general relativity. In this talk I will consider smooth, asymptotically flat, supersymmetric black holes of five dimensional minimal supergravity. I present a classification of black hole space-times which admit an axial Killing field that `commutes’ with the remaining supersymmetry. I show that these solutions have a Gibbons-Hawking base of multi-centred type, and the associated harmonic functions have simple poles at the centres on $\mathbb{R}^3$. Smoothness and asymptotic flatness requires these harmonic functions to satisfy certain algebraic constraints, however, these can be satisfied even when the solution does not have any additional symmetry. This gives the first examples of five-dimensional stationary black holes that admit only a single axial symmetry, in contrast to the previously known cases with toroidal isometry.
