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

TL;DR

This paper derives exact self-consistent solutions for interacting spinor and scalar fields within Bianchi type-I space-time, revealing cases with no initial singularity and conditions leading to isotropic space-time.

Contribution

It provides new exact solutions to coupled spinor and scalar field equations in Bianchi type-I space-time, highlighting singularity avoidance and isotropization.

Findings

Some solutions lack initial singularity

Certain conditions lead to isotropic space-time

New exact solutions for coupled fields in Bianchi type-I

Abstract

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.