Towards the quasi-localization of canonical GR
General Relativity and Quantum Cosmology
2015-05-13 v2
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.
Keywords
Cite
@article{arxiv.0902.3199,
title = {Towards the quasi-localization of canonical GR},
author = {Laszlo B Szabados},
journal= {arXiv preprint arXiv:0902.3199},
year = {2015}
}
Comments
28 pages, typos corrected, a reference is changed, the text is improved at several points, appearing in Class. Quantum Grav