paper

Positivity of Quasilocal Mass

arXiv:gr-qc/0303019 · doi:10.1103/PhysRevLett.90.231102

Abstract

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.

4 pages; final published version

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