# A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term

## TL;DR

This paper introduces a novel method for constructing exact solutions in 4D scalar cosmology models that include a Gauss-Bonnet term, by comparing the Hubble parameter with standard inflationary models.

## Contribution

It presents a new approach to derive exact solutions in Einstein-Gauss-Bonnet gravity with a scalar field, enhancing understanding of such cosmological models.

## Key findings

- Exact solutions constructed using the new method.
- Demonstrated the method's effectiveness in 4D Friedmann universe.
- Provides insights into scalar-Gauss-Bonnet cosmology.

## Abstract

We study the cosmological model based on Einstein-Gauss-Bonnet gravity with non-minimal coupling of a scalar field to a Gauss-Bonnet term in 4D Friedmann universe. We show how constructing the exact solutions by the method based on a confrontation of the Hubble parameter in the model under consideration with that in a standard scalar field inflationary cosmology.