# Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term

## TL;DR

This paper analyzes the stability of de Sitter solutions in scalar field models with Gauss-Bonnet coupling, deriving conditions for stability and exploring implications for cosmological evolution.

## Contribution

It provides a general framework for stability analysis of de Sitter solutions in models with nonminimal scalar-Gauss-Bonnet couplings, including specific conditions and potential cosmological applications.

## Key findings

- Derived effective potential and stability conditions for de Sitter solutions.
- Identified specific couplings that allow stable de Sitter configurations.
- Discussed implications for early Universe and late-time cosmology.

## Abstract

We investigate the scalar field dynamics of models with nonminimally coupled scalar fields in the presence of the Gauss-Bonnet term and derive the structure of the effective potential and conditions for stable de Sitter solutions in general. Specializing to specific couplings, we explore the possibility of realizing the stable de Sitter configurations which may have implications for both the early Universe and late time evolution.