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 t → t1,t2 the metric tensor is of Kasner type, whereas, as t → ±∞, it becomes isotropic and, because of Λ, has a stationary-type behaviour.