On A Quasi-local Mass
General Relativity and Quantum Cosmology
2009-12-15 v4 Differential Geometry
Abstract
We modify previous quasi-local mass definition. The new definition provides expressions of the quasi-local energy, the quasi-local linear momentum and the quasi-local mass. And they are equal to the ADM expressions at spatial infinity. Moreover, the new quasi-local energy has the positivity property.
Cite
@article{arxiv.0905.2728,
title = {On A Quasi-local Mass},
author = {Xiao Zhang},
journal= {arXiv preprint arXiv:0905.2728},
year = {2009}
}
Comments
12 pages, final version with Proposition 1(c) and "Discussions" section added, minor typos corrected, to appear in Class. Quantum Grav