Rigidity in the Positive Mass Theorem with Charge
General Relativity and Quantum Cosmology
2013-09-18 v4 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this paper we show how a natural coupling of the Dirac equation with the generalized Jang equation, leads to a proof of the rigidity statement in the positive mass theorem with charge, without the maximal slicing condition, provided a solution to the coupled system exists.
Cite
@article{arxiv.1307.5499,
title = {Rigidity in the Positive Mass Theorem with Charge},
author = {Marcus A. Khuri and Gilbert Weinstein},
journal= {arXiv preprint arXiv:1307.5499},
year = {2013}
}
Comments
12 pages; final version