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

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1997 EDP Sciences
, , Citation G. Platania and R. Rosania 1997 EPL 37 585 DOI 10.1209/epl/i1997-00194-y

0295-5075/37/9/585

Abstract

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.

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10.1209/epl/i1997-00194-y