Variational principle for gravity in the extended phase space
General Relativity and Quantum Cosmology
2012-04-04 v1 Mathematical Physics
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.
Keywords
Cite
@article{arxiv.1204.0669,
title = {Variational principle for gravity in the extended phase space},
author = {Pankaj Sharan},
journal= {arXiv preprint arXiv:1204.0669},
year = {2012}
}
Comments
Latex2e, 6 pages, presented in International Conference on Gravitation and Cosmology, Goa, India, December 14-19, 2011