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arXiv · 0902.3199

Towards the quasi-localization of canonical GR

Laszlo B Szabados
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Abstract

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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Laszlo B Szabados. 2009-05-19. Towards the quasi-localization of canonical GR. https://doi.org/10.1088/0264-9381%2F26%2F12%2F125013

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