Higher-dimensional Majumdar-Papapetrou black holes

23.06. bis 23.06.2022, 14:00-15:30  –  C6H05 Tübingen, 2.09.2.22 Campus Golm
Geometric Analysis, Differential Geometry and Relativity

James Lucietti

The uniqueness theorems for asymptotically flat, static, black hole solutions to Einstein-Maxwell theory in four and higher dimensions are only valid for non-extreme black holes.  

In the extreme case the solution must belong to a generalised class of Majumdar-Papapetrou solutions.  I will discuss recent work which establishes that the only spacetimes in this class, with a suitably regular event horizon, are the standard multi-black hole solutions. The proof involves a careful analysis of the near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities.