On A Quasi-local Mass

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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12 pages, final version with Proposition 1(c) and "Discussions" section added, minor typos corrected, to appear in Class. Quan

Scientific paper

10.1088/0264-9381/26/24/245018

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.

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