Phys. Rev. Lett. 102, 021101 (2009) [4 pages]Quasilocal Mass in General RelativityReceived 27 May 2008; published 15 January 2009 There have been many attempts to define the notion of quasilocal mass for a spacelike two surface in spacetime by the Hamilton-Jacobi analysis. The essential difficulty in this approach is to identify the right choice of the background configuration to be subtracted from the physical Hamiltonian. Quasilocal mass should be non-negative for surfaces in general spacetime and zero for surfaces in flat spacetime. In this Letter, we propose a new definition of gauge-independent quasilocal mass and prove that it has the desired properties. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.021101
DOI:
10.1103/PhysRevLett.102.021101
PACS:
04.20.Cv
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