A universe with torsion

Physics

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Cosmology

Scientific paper

In the context of the ECSK theory of gravitation we have obtained the solutions of the Einstein-Dirac equations in a Friedmann-Robertson-Walker spatially flat universe when spin has only one non-zero space-component. All solutions are singular: one of these is bounded and describes a universe whose lifetime is [(hbar)/(mc2)], independently of initial conditions; the others describe a spatially flat open expanding or contracting universe, where spin increases the expansion rate or the contraction rate, respectively, of the universe for time intervals Δt approx [(hbar)/(mc2)] in a neighbourhood of the singularities.

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