On A Quasi-local Mass
arXiv:0905.2728 · doi:10.1088/0264-9381/26/24/245018
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.
12 pages, final version with Proposition 1(c) and "Discussions" section added, minor typos corrected, to appear in Class. Quantum Grav