Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources

TL;DR

This paper demonstrates how the scalar field mode can be decoupled in Bianchi type I and V cosmologies with perfect fluid sources, leading to a fully integrable system for arbitrary potentials and equations of state.

Contribution

It introduces a method to decouple the scalar field degree of freedom, simplifying the Einstein-matter equations for these cosmological models.

Findings

Decoupling of scalar field mode in Bianchi I and V models.

Reduction of the governing ODE to first order.

Complete integration for arbitrary potentials and equations of state.

Abstract

The scalar field degree of freedom in Einstein's plus Matter field equations is decoupled for Bianchi type I and V general cosmological models. The source, apart from the minimally coupled scalar field with arbitrary potential V(Phi), is provided by a perfect fluid obeying a general equation of state p =p(rho). The resulting ODE is, by an appropriate choice of final time gauge affiliated to the scalar field, reduced to 1st order, and then the system is completely integrated for arbitrary choices of the potential and the equation of state.