Exact Self-consistent Solutions to the Interacting Spinor and Scalar Field Equations in Bianchi Type-I Space-time

Self-consistent solutions to the system of spinor and scalar field equations in General Relativity are studied for the case of Bianchi type-I space-time. It should be emphasized the absence of initial singularity for some types of solutions and also the isotropic mode of space-time in some special case.