New holographic Chaplygin gas model of dark energy

TL;DR

This paper explores a holographic dark energy model with a new infrared cutoff, establishing correspondences with various Chaplygin gas models and analyzing their dynamics, potentials, and stability in non-flat universes.

Contribution

It introduces a novel holographic dark energy model with a new infrared cutoff and connects it to different Chaplygin gas models, reconstructing their scalar field dynamics and potentials.

Findings

Derived the same dynamics and potentials for SCG, GCG, and MCG models.

Calculated the squared sound speed for stability analysis.

Discussed results in both non-flat and flat universe scenarios.

Abstract

In this work, we investigate the holographic dark energy model with new infrared cut-off (new HDE model) proposed by Granda and Oliveros. Using this new definition for infrared cut-off, we establish the correspondence between new HDE model and standard Chaplygin gas (SCG), generalized Chaplygin gas (GCG) and modified Chaplygin gas (MCG) scalar field models in non-flat universe. The potential and dynamics for these scalar field models, which describe the accelerated expansion of the universe are reconstructed. According to the evolutionary behavior of new HDE model, we derive the same form of dynamics and potential for different SCG, GCG and MCG models. We also calculate the squared sound speed of new HDE model as well as for SCG, GCG and MCG models and investigate the new HDE Chaplygin gas models from the viewpoint of linear perturbation theory. All results in non-flat universe are also discussed in the limiting case of flat universe, i.e. $k=0$.