Integrable Cosmological Models with an Arbitrary Number of Scalar Fields

TL;DR

This paper develops new integrable cosmological models featuring an arbitrary number of scalar fields nonminimally coupled to gravity, with solutions for flat FLRW metrics and quartic potentials.

Contribution

It introduces a method to construct integrable models with multiple scalar fields where the Ricci scalar remains an integral of motion.

Findings

General solutions found for models with quartic potentials.

Ricci scalar is an integral of motion regardless of metric type.

Models are applicable to arbitrary numbers of scalar fields.

Abstract

We consider cosmological models with an arbitrary number of scalar fields nonminimally coupled to gravity and construct new integrable cosmological models. In the constructed models, the Ricci scalar is an integral of motion irrespectively of the type of metric. The general solutions of evolution equations in the spatially flat FLRW metric have been found for models with the quartic potentials.