Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory
arXiv:gr-qc/9412009 · doi:10.1007/BF02105322
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.
16 pages, RevTeX. Additional equations supplied