Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant

Abstract

We formulate and prove the Lorentzian version of the positive mass theorems with arbitrary negative cosmological constant for asymptotically AdS spacetimes. This work is the continuation of the second author's recent work on the positive mass theorem on asymptotically hyperbolic 3-manifolds.

17 pages, final version, to appear in International Journal of Mathematics

References in corpus (2)

• Scalar Curvature Rigidity for asymptotically locally hyperbolic manifolds
• Killing Initial Data

Cited by in corpus (11)

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• The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting
• Recent progress on the positive energy theorem
• Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes
• Hyperbolic positive energy theorem with electromagnetic fields
• The rest mass of an asymptotically Anti-de Sitter spacetime