Positivity of quasi-local mass II
Differential Geometry
2007-05-23 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We prove the following stronger verson of the positivity of quasi-local mass stated in gr-qc/0303019: the quasi-local energy (mass) of each connected component of the boundary of a compact spacelike hypersurface which satisfies the local energy condition is strictly positive unless the spacetime is flat along the spacelike hypersurface and the boundary of the spacelike hypersurface is connected.
Cite
@article{arxiv.math/0412292,
title = {Positivity of quasi-local mass II},
author = {Chiu-Chu Melissa Liu and Shing-Tung Yau},
journal= {arXiv preprint arXiv:math/0412292},
year = {2007}
}
Comments
23 pages