Canonical variables and quasilocal energy in general relativity

Details Canonical variables and quasilocal energy in general relativity Canonical variables and quasilocal energy in general relativity

1993-07-21

arxiv.org/abs/gr-qc/9307026v3

Class.Quant.Grav.10:2379-2399,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

(The manuscripts in the revised versions have not been changed. Some problematic fonts have been removed, and some carriage re

Scientific paper

10.1088/0264-9381/10/11/021

Recently Brown and York have devised a new method for defining quasilocal energy in general relativity. Their method yields expressions for the quasilocal energy and momentum surface densities associated with the two-boundary of a spacelike slice of a spatially bounded spacetime. These expressions are essentially Arnowitt-Deser-Misner variables, but with canonical conjugacy defined with respect to the time history of the two-boundary. This paper introduces Ashtekar-type variables on the time history of the two-boundary and shows that these variables lead to elegant alternative expressions for the quasilocal surface densities. In addition, it is demonstrated here that both the boundary ADM variables and the boundary Ashtekar-type variables can be incorporated into a larger framework by appealing to the tetrad-dependent Sparling differential forms.

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