Positivity of Quasilocal Mass

Details Positivity of Quasilocal Mass Positivity of Quasilocal Mass

2003-03-05

arxiv.org/abs/gr-qc/0303019v2

Phys.Rev.Lett.90:231102,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages; final published version

Scientific paper

10.1103/PhysRevLett.90.231102

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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