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Positivity of quasi-local mass II

Chiu-Chu Melissa Liu·Shing-Tung Yau
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Abstract

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.

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Chiu-Chu Melissa Liu, Shing-Tung Yau. 2005-01-17. Positivity of quasi-local mass II. https://arxiv.org/abs/math/0412292

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