Towards the quasi-localization of canonical GR

Details Towards the quasi-localization of canonical GR Towards the quasi-localization of canonical GR

2009-02-18

arxiv.org/abs/0902.3199v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, typos corrected, a reference is changed, the text is improved at several points, appearing in Class. Quantum Grav

Scientific paper

A general framework for a systematic quasi-localization of canonical general relativity and a new ingredient, the requirement of the gauge invariance of the boundary terms appearing in the calculation of Poisson brackets, are given. As a consequence of this it is shown, in particular, that the generator vector fields (built from the lapse and shift) of the quasi-local quantities must be divergence free with respect to a Sen-type connection; and the volume form induced from the spatial metric on the boundary surface must be fixed.

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