New Integrable Chiral Cosmological Models with Two Scalar Fields

TL;DR

This paper develops new integrable chiral cosmological models involving two scalar fields with hyperbolic potentials, providing exact solutions in various Friedmann universe geometries using elliptic functions.

Contribution

It introduces a novel class of integrable two-scalar-field cosmological models with hyperbolic potentials and derives their general solutions across different universe geometries.

Findings

Explicit general solutions in terms of Jacobi elliptic functions.

Models applicable to flat, open, and closed Friedmann universes.

Identification of integrals of motion for these models.

Abstract

We construct integrable chiral cosmological models with two scalar fields and potentials represented in terms of hyperbolic functions. Using the conformal transformation of the metric and the corresponding models with induced gravity terms, we obtain the general solutions in the spatially flat, open and closed Friedmann universes and the corresponding integrals of motion. The obtained general solutions can be written in terms of the Jacobi elliptic functions of the conformal time.