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Positivity of quasilocal mass

Chiu-Chu Melissa Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43497

Physical review letters, 90, (23), 231102, 2003.6
Motivated by the important work of Brown and York on quasilocal energy, we propose definitions of quasilocal energy and momentum surface energy of a spacelike 2-surface with a positive intrinsic curvature in a spacetime. 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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@inproceedings{chiu-chu2003positivity,
  title={Positivity of quasilocal mass},
  author={Chiu-Chu Melissa Liu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203616995232061},
  booktitle={Physical review letters},
  volume={90},
  number={23},
  pages={231102},
  year={2003},
}
Chiu-Chu Melissa Liu, and Shing-Tung Yau. Positivity of quasilocal mass. 2003. Vol. 90. In Physical review letters. pp.231102. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203616995232061.
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