Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory
General Relativity and Quantum Cosmology
2009-10-22 v2
Abstract
The field equations in the nonsymmetric gravitational theory are derived from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and tensor identities are derived. Among these are the generalized Bianchi identities and the law of energy-momentum conservation. The Lagrangian density is expanded to second-order, and treated as an ``Einstein plus fields'' theory. From this, it is deduced that the energy is positive in the radiation zone.
Keywords
Cite
@article{arxiv.gr-qc/9412009,
title = {Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory},
author = {J. Legare and J. W. Moffat},
journal= {arXiv preprint arXiv:gr-qc/9412009},
year = {2009}
}
Comments
16 pages, RevTeX. Additional equations supplied