Exact Bianchi type-I solutions of the Einstein equations with Dirac field
Dipartimento di Scienze Fisiche - Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy
Accepted: 13 February 1997
We present the solutions of the Einstein-Dirac equations in a Bianchi type-I space-time with cosmological constant . According to the value of a dimensionless parameter , three classes of solutions of the Einstein-Dirac equations exist. If , these solutions have two singularities t1 and t2: as the metric tensor is of Kasner type, whereas, as , it becomes isotropic and, because of , has a stationary-type behaviour.
PACS: 04.20.Jb – Exact solutions / 98.80.-k – Cosmology
© EDP Sciences, 1997