09.07.2025, 10:15
– 2.09.0.17
Forschungsseminar: Gruppen und Operatoralgebren
On factoriality of the Neretin group von Neumann algebra
Basile Morando (ENS Lyon)
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.