Induced gravity models with exact bounce solutions

TL;DR

This paper explores induced gravity cosmological models with polynomial potentials, identifying conditions for exact bounce solutions and analyzing their stability to understand early universe dynamics.

Contribution

It introduces specific conditions on sixth degree polynomial potentials that allow for exact bounce solutions in induced gravity models.

Findings

Exact bounce solutions exist under certain potential conditions.

Stability analysis of these solutions is performed.

The models provide insights into early universe cosmology.

Abstract

We study dynamics of induced gravity cosmological models with the sixth degree polynomial potentials, that have been constructed using the superpotential method. We find conditions on the potential under which exact bounce solutions exist and study the stability of these solutions.