Phys. Rev. Lett. 90, 231102 (2003) [4 pages]

Positivity of Quasilocal Mass

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Chiu-Chu Melissa Liu^* and Shing-Tung Yau^†
Harvard University, Department of Mathematics, One Oxford Street, Cambridge, Massachusetts 02138, USA

Received 2 March 2003; published 10 June 2003

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.90.231102

DOI:

10.1103/PhysRevLett.90.231102

PACS:

04.20.Cv

^*Electronic address: ccliu@math.harvard.edu

^†Electronic address: yau@math.harvard.edu

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Phys. Rev. Lett. 90, 231102 (2003) [4 pages]

Positivity of Quasilocal Mass

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