Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

Details Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

1994-12-02

arxiv.org/abs/gr-qc/9412009v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, RevTeX. Additional equations supplied

Scientific paper

10.1007/BF02105322

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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