On A Quasi-local Mass

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

References in corpus (2)

• Quasilocal mass in general relativity
• Isometric embeddings into the Minkowski space and new quasi-local mass

Cited by in corpus (1)

• The Dirac operator on untrapped surfaces