Dynamical analysis in regularized $4D$ Einstein-Gauss-Bonnet gravity with non-minimal coupling

TL;DR

This paper explores a modified 4D Einstein-Gauss-Bonnet gravity model with non-minimal scalar coupling, analyzing its dynamical behavior, stability, and cosmological evolution using observational data.

Contribution

It introduces a non-minimal coupling extension to the regularized 4D EGB theory and studies its dynamical and cosmological implications.

Findings

Additional contributions to dynamical equations from non-minimal coupling.

Identification of fixed points indicating system stability.

Constraints on cosmological parameters consistent with observational data.

Abstract

We investigate the regularized four-dimensional Einstein-Gauss-Bonnet ($4D$ EGB) gravity with a non-minimal scalar coupling function, which is an extension of the regularized $4D$ EGB theory. By introducing non-minimal coupling to the Gauss-Bonnet term, we demonstrate the additional contribution to the dynamical equations which is otherwise absent in the dimensionally-regularized theory. Furthermore, we analyze the stability of the system by using the dynamical system approach based on fixed points. Then, we consider the time evolution to investigate the history of the universe and constraint with observational data to obtain the cosmological parameters of the model.