Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature

Abstract

We establish the positive energy theorem for weak asymptotically anti-de Sitter initial data sets with distributional curvature under the weak dominant energy condition.

arXiv comment16 pages

References in corpus (4)

• On the positive mass theorem for manifolds with corners
• Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
• Positive mass theorems for asymptotically de Sitter spacetimes
• Spacelike hypersurfaces with negative total energy in de Sitter spacetime