Variational principle for gravity in the extended phase space

Details Variational principle for gravity in the extended phase space Variational principle for gravity in the extended phase space

2012-04-03

arxiv.org/abs/1204.0669v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e, 6 pages, presented in International Conference on Gravitation and Cosmology, Goa, India, December 14-19, 2011

Scientific paper

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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