General solutions of integrable cosmological models with non-minimal coupling

TL;DR

This paper explores integrable cosmological models with both minimally and non-minimally coupled scalar fields, analyzing their solutions and differences across Jordan and Einstein frames.

Contribution

It provides a detailed comparison of solutions in different coupling scenarios and frames, highlighting the distinctions in their general solutions.

Findings

Differences between solutions in Jordan and Einstein frames are demonstrated.

The correspondence between minimally and non-minimally coupled models is clarified.

An example with a constant potential illustrates the solution differences.

Abstract

We study the integrable model with minimally and non-minimally coupled scalar fields and the correspondence of their general solutions. Using the model with a minimally coupled scalar field and a the constant potential as an example we demonstrate the difference between the general solutions of the corresponding models in the Jordan and the Einstein frames.