Positivity of quasi-local mass II

Liu, Chiu-Chu Melissa; Yau, Shing-Tung

doi:10.1090/S0894-0347-05-00497-2

Positivity of quasi-local mass II
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by Chiu-Chu Melissa Liu and Shing-Tung Yau

J. Amer. Math. Soc. 19 (2006), 181-204

DOI: https://doi.org/10.1090/S0894-0347-05-00497-2

Published electronically: July 12, 2005

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Abstract:

We prove the following stronger version of the positivity of quasi-local energy (mass) stated by Liu and Yau: the quasi-local energy 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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