English

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

General Relativity and Quantum Cosmology 2023-03-23 v1

Abstract

We investigate the regularized four-dimensional Einstein-Gauss-Bonnet (4D4D EGB) gravity with a non-minimal scalar coupling function, which is an extension of the regularized 4D4D 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.

Keywords

Cite

@article{arxiv.2210.06717,
  title  = {Dynamical analysis in regularized $4D$ Einstein-Gauss-Bonnet gravity with non-minimal coupling},
  author = {Bilguun Bayarsaikhan and Sunly Khimphun and Phearun Rithy and Gansukh Tumurtushaa},
  journal= {arXiv preprint arXiv:2210.06717},
  year   = {2023}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-28T03:30:43.881Z