A universe with torsion and cosmological constant

The aim of this paper is to extend the solutions of the Einstein-Dirac equations in a Bianchi type-I Universe with torsion we have found (see PLATANIA G. and ROSANIA R., Nuovo Cimento B, 111 (1996) 1195) in the context of the ECSK theory of gravitation, to the case in which the cosmological constant Lambda is non-zero. Since Lambda does not appear in the off-diagonal field equations, we have again that the Universe has plane symmetry and that spin vector has only one non-zero space-component. The solutions of the Einstein-Dirac equations may be classified according to the value of a dimensionless parameter Phi. If Phi < 1, we have the solutions, which extend the old ones when Lambda is non-zero: they are singular and have a stationary-type asymptotical behaviour (t --> +/- infinity) to which, because of Lambda, constant Hubble functions correspond.