Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes

Abstract

We define the total energy-momenta for (4+1)-dimensional asymptotically anti-de Sitter spacetimes, and prove the positive energy theorem for such spacetimes.

11 pages, to appear in Science China Mathematics

References in corpus (3)

• Scalar Curvature Rigidity for asymptotically locally hyperbolic manifolds
• 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 AdS spacetimes with arbitrary cosmological constant

Cited by in corpus (1)

• Metrics of Eguchi-Hanson types with the negative constant scalar curvature