Exact Bianchi type-I solutions of the Einstein equations with neutrino and scalar fields.

Mathematics – Logic

Scientific paper

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Cosmological Models: Space-Time, Cosmological Models: Bianchi Models

Scientific paper

The authors present solutions of the Einstein equations with neutrino and massless scalar fields in a Bianchi type-I space-time with cosmological constant Λ. The metric is asymptotically isotropic and de Sitter type since Λ dominates as t→±∞. If Λ = 0, the anisotropies would not be damped at infinity so the cosmological constant allows to match the initially anisotropic metrics to the symmetries of the Universe observed at the actual cosmological epoch. On the other hand, the massless scalar field dominates in a neighbourhood of the singularity t = 0, so that as t→0 we have a non-Kasnerian universe. The non-zero neutrino solutions are all ghost.

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