Positivity of quasilocal mass.
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.
Liu
Chiu-Chu Melissa
CC
Harvard University, Department of Mathematics, One Oxford Street, Cambridge, MA 02138, USA. ccliu@math.harvard.edu
Yau
Shing-Tung
ST