Gauss Bonnet dark energy Chaplygin Gas Model

TL;DR

This paper explores the correspondence between Gauss-Bonnet dark energy models and Chaplygin gas models, reconstructing scalar field potentials and analyzing stability to identify models consistent with observations.

Contribution

It introduces a detailed reconstruction of scalar fields and potentials for Gauss-Bonnet and modified Gauss-Bonnet models in relation to Chaplygin gas models, including stability analysis.

Findings

MGB-GCG model aligns best with observations

Derived bounds for model parameters

Reconstructed scalar fields and potentials

Abstract

The correspondence of the Gauss-Bonnet (GB) and its modification (MGB) models of dark energy with the standard and generalized Chaplygin gas-scalar field models (SCG and GCG) have been studied in a {\deg}at universe. The exact solution of potentials and scalar fields, which describe the accelerated expansion of the universe, are reconstructed. According to the evolutionary behavior of the GB and MGB models, the same form of dynamics of scalar field and potential for different SCG and GCG models are derived. By calculating the squared sound speed of the MGB, GB model as well as the SCG, GCG, and investigating the GB-Chaplygin gas from the viewpoint of linear perturbation theory, we find that the best results which is consistent with the observation, may be appeared by considering the MGB-GCG. Also we find out some bounds for parameters.