Interacting spinor and scalar fields in Bianchi type-I Universe filled with viscous fluid: exact and numerical solutions

TL;DR

This paper derives exact and numerical solutions for a Bianchi type-I universe filled with viscous fluid, interacting with spinor and scalar fields, considering a cosmological constant, and explores special cases for these solutions.

Contribution

It presents the first self-consistent exact and numerical solutions for spinor and scalar fields in a viscous Bianchi type-I universe with a cosmological constant.

Findings

Exact solutions for the spinor, scalar, and gravitational fields in terms of the universe's volume.

Derived equations governing the universe's volume and viscous fluid energy.

Analysis of special cases where exact solutions are attainable.

Abstract

We consider a self-consistent system of spinor and scalar fields within the framework of a Bianchi type I gravitational field filled with viscous fluid in presence of a $\Lambda$ term. Exact self-consistent solutions to the corresponding spinor, scalar and BI gravitational field equations are obtained in terms of $\tau$, where $\tau$ is the volume scale of BI universe. System of equations for $\tau$ and $\ve$, where $\ve$ is the energy of the viscous fluid, is deduced. Some special cases allowing exact solutions are thoroughly studied.