Quasilocal mass in general relativity

Details Quasilocal mass in general relativity Quasilocal mass in general relativity

2008-04-08

arxiv.org/abs/0804.1174v3

Phys.Rev.Lett.102:021101,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, editorial changes made to comply with journal's page limit, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.102.021101

There have been many attempts to define the notion of quasilocal mass for a spacelike 2-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 nonnegative 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.

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