Towards the quasi-localization of canonical GR
arXiv:0902.3199 · doi:10.1088/0264-9381/26/12/125013
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.
28 pages, typos corrected, a reference is changed, the text is improved at several points, appearing in Class. Quantum Grav