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arXiv:math/0412292 [math.DG]AbstractReferencesReviewsResources

Positivity of quasi-local mass II

Chiu-Chu Melissa Liu, Shing-Tung Yau

Published 2004-12-15, updated 2005-01-17Version 2

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.

Comments: 23 pages
Journal: J. Amer. Math. Soc. 19 (2006), no.1, 181-204
Categories: math.DG, gr-qc, math-ph, math.MP
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