Spatially homogeneous cosmological models in Lyra's geometry.

Mathematics – Logic

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Cosmological Models

Scientific paper

Some exact solutions of Einstein field equations in Lyra's manifold (1951) 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.

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