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Variational principle for gravity in the extended phase space (1204.0669v1)

Published 3 Apr 2012 in gr-qc, math-ph, and math.MP

Abstract: Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one hand and to a 3-form (related to the Einstein tensor) on the other. Gravitational dynamics is restricted to torsion zero surface in the extended phase space for Einstein-Hilbert action.

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