Towards the quasi-localization of canonical general relativity

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 gener...

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Bibliographic Details
Published in:Classical and quantum gravity 2009-06, Vol.26 (12), p.125013-125013 (24)
Main Author: Szabados, László B
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
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Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/12/125013