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Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

J. Legare·J. W. Moffat
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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.

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J. Legare, J. W. Moffat. 1994-12-08. Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory. https://doi.org/10.1007/bf02105322

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