Conservation laws in a metric nonsymmetric theory of gravitation

Abstract

The conservation laws associated with a previously studied metric nonsymmetric theory of gravitation are established and their physical significance is discussed. Conservation laws are obtained for the generalized energy and momentum. Some applications of the results are made for a spherically symmetric fluid with a view to future study of stelar equilibrium.

Pulsar binary systems in a nonsymmetric theory of gravitation II. Dipole radiation

“…The theory was shown to be consistent with the four classical solar tests of general relativity (GR). Next in [3] the conservation laws associated to the theory were studied. In [4] we have proved the analogue of the GR static theorem, that is, that the field outside of a time-dependent spherically symmetric source is necessarily static.…”

“…In Sec. III we use the energy-momentum-stress pseudotensor derived in [3] to calculate the rate of emitted radiation. After elaborating the weak-field expansion in Sec.…”

Metric nonsymmetric theory of gravitation: the analogue of the theorem of Birkhoff

“…In [2] the electromagnetic field was included into the theory and the solution for a point charge was obtained. The conservation laws associated to the theory were studied by one of us in [3]. Then [4], we have established the equations governing the interior problem of a static spherically symmetric perfect fluid with a view to a study of stelar equilibrium.…”