New definition of quasilocal mass and its positivity

Chiu-Chu Melissa Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43653

We propose definitions of quasilocal energy and momentum surface energy of a spacelike 2-surface with positive intrinsic curvature in a spacetime. Our definitions do not depend on the compact spacelike hypersurface it bounds. We show that the quasilocal energy 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.
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  title={New definition of quasilocal mass and its positivity},
  author={Chiu-Chu Melissa Liu, and Shing-Tung Yau},
Chiu-Chu Melissa Liu, and Shing-Tung Yau. New definition of quasilocal mass and its positivity. 2003.
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