Anisotropic Homogeneous Cosmology in the Nonsymmetric Theory of Gravitation

TL;DR

This paper explores solutions to the Nonsymmetric Gravitational Theory's field equations in homogeneous, plane-symmetric cosmology, revealing effects like polarization-dependent light speed, with implications for cosmological models.

Contribution

It provides new solutions for the Nonsymmetric Gravitational Theory in a cosmological setting, highlighting polarization effects on light speed.

Findings

Speed of light depends on polarization

Solutions applicable to vacuum and perfect fluid cases

Implications for cosmological observations

Abstract

Solutions to the field equations of the Nonsymmetric Gravitational Theory with $g_[i0] = 0$ are obtained for the homogeneous, plane-symmetric, time-dependent case, both in vacuum and in the presence of a perfect fluid. Cosmological consequences include a dependence of the speed of light on its polarisation, as in a birefringent crystal.