An anisotropic cosmological model with spin-(1/2) particles.

Mathematics – Logic

Scientific paper

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Cosmological Models: Anisotropy

Scientific paper

In the context of the ECSK theory of gravitation the authors have obtained the solutions of the Einstein-Dirac equations in a Bianchi I-type universe with plane symmetry. The plane symmetry is imposed by spin, which, according to the field equations, has only one non-zero space component. The metric tensor is singular: spin dominates in a neighbourhood of the singularities, delaying the isotropization, whereas mass-energy rules the damping of the anisotropy at late times (t→±∞). At late times, the metric tensor becomes the FRW one of the spatially flat universe, when the source is a perfect fluid with zero pressure.

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