All electro--vacuum Majumdar--Papapetrou space--times with nonsingular black holes

Abstract

We show that all Majumdar--Papapetrou electrovacuum space--times with a non--empty black hole region and with a non--singular domain of outer communications are the standard Majumdar--Papapetrou space--times.

9 pages, Latex

References in corpus (4)

• On the topology of stationary black holes
• Maximal Hypersurfaces in Asymptotically Stationary Space-Times
• "No Hair" Theorems -- Folklore, Conjectures, Results
• On completeness of orbits of Killing vector fields

Cited by in corpus (15)

• Stationary Black Holes: Uniqueness and Beyond
• Numerical Methods for Finding Stationary Gravitational Solutions
• Uniqueness of (dilatonic) charged black holes and black p-branes in higher dimensions
• Towards a classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
• The classification of static vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
• On Israel-Wilson-Perjes black holes
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior
• The Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
• On the inexistence of solitons in Einstein-Maxwell-scalar models
• On the Uniqueness of the Papapetrou--Majumdar Metric
• Boundary value problems for Dirac--type equations, with applications
• Multicenter solutions in Eddington-inspired Born-Infeld gravity
• Uniqueness theorems for static black holes in metric-affine gravity
• A local characterisation for static charged black holes