Spatially homogeneous cosmological models in Lyra's geometry

Abstract

Some exact solutions of Einstein field equations in Lyra's manifold are presented when the line-element has the form: ds2 = exp [2h] dt2 - exp [2A](dx2 + dy2) - exp [2B] dz2, where h, A and B are functions of t only. The solutions are spatially homogeneous, locally rotationally symmetric and admit a Bianchi type-I group of motions on hypersurfaces t = const. The physical behaviours of the models have also been discussed.