Uniqueness of static black-holes without analyticity

Abstract

We show that the hypothesis of analyticity in the uniqueness theory of vacuum, or electrovacuum, static black holes is not needed. More generally, we show that prehorizons covering a closed set cannot occur in well-behaved domains of outer communications.

6 pages, 1 figure

References in corpus (4)

• On non-existence of static vacuum black holes with degenerate components of the event horizon
• The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior
• Topological censorship for Kaluza-Klein space-times
• Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions

Cited by in corpus (5)

• Stationary Black Holes: Uniqueness and Beyond
• Static potentials on asymptotically flat manifolds
• Global and uniqueness properties of stationary and static spacetimes with outer trapped surfaces
• Uniqueness theorems for static spacetimes containing marginally outer trapped surfaces
• Hyperdeterminism? Spacetime 'Analyzed'