20 research outputs found
On the uniqueness of smooth, stationary black holes in vacuum
We prove a conditional "no hair" theorem for smooth manifolds: if is the
domain of outer communication of a smooth, regular, stationary Einstein vacuum,
and if a technical condition relating the Ernst potential and Killing scalar is
satisfied on the bifurcate sphere, then is locally isometric to the domain
of outer communication of a Kerr space-time.Comment: Various correction