FIELD-EQUATIONS AND CONSERVATION-LAWS IN THE NONSYMMETRIC GRAVITATIONAL THEORY

The field equations in the nonsymmetric gravitational theory are deriv ed from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and te nser identities are derived. Among these are the generalized Bianchi i dentities 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.