Anisotropic chiral cosmology: exact solutions

TL;DR

This paper derives exact classical and quantum solutions for anisotropic Bianchi type I cosmological models involving chiral scalar fields, exploring different potential configurations and their implications.

Contribution

It provides new analytical solutions for anisotropic chiral cosmology models with various scalar field potentials, including classical and quantum cases.

Findings

Exact solutions for two scalar field models in anisotropic cosmology.

Identification of quintom and quintessence-like cases with potential terms.

Analytical solutions at both classical and quantum levels.

Abstract

In this work, we investigate the anisotropic Bianchi type I cosmological model in the chiral setup, in a twofold manner. Firstly, we consider a quintessence plus a k-essence like model, where two scalar fields but only one potential term is considered. Secondly, we look at a model where in addition to the two scalar fields the two potential terms are taken into account as well as the standard kinetic energy and the mixed term. Regarding this second model, it is shown that two possible cases can be studied: a quintom like case and a quintessence like case. In each of the models, we were able to find both classical and quantum analytical solutions.