Nonlinear Spinor Field in Bianchi type-I Universe filled with Perfect Fluid: Exact Self-consistent Solutions

TL;DR

This paper presents exact self-consistent solutions for nonlinear spinor fields in Bianchi type-I universe with perfect fluid, highlighting conditions for singularity avoidance and isotropic expansion.

Contribution

It provides new exact solutions in nonlinear spinor field theory within Bianchi type-I cosmology, analyzing their behavior and physical implications.

Findings

Some solutions avoid initial singularity

Certain cases exhibit isotropic expansion

Field functions and metric behavior thoroughly analyzed

Abstract

Self-consistent solutions to nonlinear spinor field equations in General Relativity have been studied for the case of Bianchi type-I space-time filled with perfect fluid. The initial and the asymptotic behavior of the field functions and the metric one has been thoroughly studied. It should be emphasized the absence of initial singularity for some types of solutions and also the isotropic mode of space-time expansion in some special cases.