Integrable cosmological models with non-minimal coupling and bounce solutions

TL;DR

This paper explores integrable cosmological models with non-minimal scalar field coupling, focusing on bounce solutions and their stability, identifying a unique model that exhibits a bounce leading to a stable de Sitter universe.

Contribution

The paper introduces methods to derive integrable models with non-minimal coupling and compares bounce solutions, highlighting a unique model with a stable de Sitter attractor.

Findings

Only one model has a bounce solution that tends to a stable de Sitter space.

Comparison of bounce solutions in two known integrable models.

Methodology for obtaining integrable non-minimally coupled scalar field models.

Abstract

We remind the way to obtain integrable models with non-minimally coupled scalar fields. We are interesting to models with bounce solutions and compare bounce solutions in two known integrable models. We show that only one model has a bounce solution that tends to a stable de Sitter solution.