László B Szabados 2009 Class. Quantum Grav. 26 125013 doi:10.1088/0264-9381/26/12/125013
László B Szabados
Show affiliationsA 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.
04.20.Fy Canonical formalism, Lagrangians, and variational principles
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 12 (21 June 2009)
Received 18 February 2009, in final form 29 April 2009
Published 2 June 2009
László B Szabados 2009 Class. Quantum Grav. 26 125013
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