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

TL;DR

This paper proves a positive energy theorem for certain asymptotically anti-de Sitter spacetimes with distributional curvature, expanding the theorem's applicability to less regular initial data.

Contribution

It extends the positive energy theorem to weak asymptotically anti-de Sitter initial data with distributional curvature under the weak dominant energy condition.

Findings

Positive energy theorem established for weak asymptotically anti-de Sitter data

Applicable to initial data with distributional curvature

Under weak dominant energy condition

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.