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Exact Bianchi type-I solutions of the Einstein equations with Dirac field

G. Platania and R. Rosania

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We present the solutions of the Einstein-Dirac equations in a Bianchi type-I space-time with cosmological constant Λ. According to the value of a dimensionless parameter Φ, three classes of solutions of the Einstein-Dirac equations exist. If Φ < 1, these solutions have two singularities t1 and t2: as tt1,t2 the metric tensor is of Kasner type, whereas, as t → ±, it becomes isotropic and, because of Λ, has a stationary-type behaviour.


PACS

98.80.-k Cosmology

04.20.Jb Exact solutions

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (20 March 1997)

Received 24 September 1996, accepted for publication 13 February 1997, in final form 13 February 1997



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