The Positive Mass Theorem with Angular Momentum and Charge for Manifolds with Boundary
General Relativity and Quantum Cosmology
2021-01-26 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
Motivated by the cosmic censorship conjecture in mathematical relativity, we establish the precise mass lower bound for an asymptotically flat Riemannian 3-manifold with nonnegative scalar curvature and minimal surface boundary, in terms of angular momentum and charge. In particular this result does not require the restrictive assumptions of simple connectivity and completeness, which are undesirable from both a mathematical and physical perspective.
Keywords
Cite
@article{arxiv.1806.10526,
title = {The Positive Mass Theorem with Angular Momentum and Charge for Manifolds with Boundary},
author = {Edward T. Bryden and Marcus A. Khuri and Benjamin D. Sokolowsky},
journal= {arXiv preprint arXiv:1806.10526},
year = {2021}
}