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Positivity of Quasilocal Mass

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arxiv gr-qc/0303019 v2 pith:XJDCOPZ6 submitted 2003-03-05 gr-qc math.DG

Positivity of Quasilocal Mass

Chiu-Chu Melissa Liu , Shing-Tung Yau This is my paper
classification gr-qc math.DG
keywords energyquasilocalspacelikehypersurfacepositivespacetimesurfacealong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Motivated by the important work of Brown adn York on quasilocal energy, we propose definitions of quasilocal energy and momentum surface energy of a spacelike 2-surface with 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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Cited by 4 Pith papers

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  4. Cone hierarchy and the screening of matter by gravity

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    The Harmonic Background Paradigm is conjectured to extend to nonlinear gravity via a screening mechanism in which negative-energy gravitational clouds surround but never overcome positive-energy seeds, connected throu...