Lorentzian positive mass theorem for spacetimes with distributional curvature

Abstract

In this paper, we prove Lorentzian positive mass theorem for spacetimes with distributional curvature. To do so, we introduce distributional curvature and generalized Arnowitt-Deser-Misner (ADM) momentum. As an application, we discuss a junction of spacetimes.

arXiv comment21 pages

References in corpus (1)

• A positive mass theorem for low-regularity Riemannian metrics

Cited by in corpus (3)

• Dihedral rigidity for cubic initial data sets
• On the evolution of the spacetime Bartnik mass
• On a spacetime positive mass theorem with corners