Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off

TL;DR

This paper explores a holographic dark energy model within Gauss-Bonnet gravity in an anisotropic universe, deriving exact solutions, analyzing physical quantities, and comparing with the standard Lambda-CDM model.

Contribution

It introduces an exact solution for holographic dark energy in Gauss-Bonnet gravity with anisotropic geometry, and compares its predictions with the Lambda-CDM model.

Findings

Physical quantities analyzed and interpreted.

Model compared with Lambda-CDM via Jerk parameter.

Examined equivalence with generalized holographic dark energy.

Abstract

In this paper, we have studied a model of holographic dark energy (HDE) with a homogeneous and anisotropic Bianchi type-I Universe in the framework of Gauss-Bonnet (GB) gravity or $f(G)$ gravity. To find an exact solution of the field equations, we assume that the deceleration parameter varies with cosmic time $\left( t\right) $. We plot some physical quantities and give interpretations of the results obtained. Finally, we compared our model with the $\Lambda CDM$ model by analyzing the Jerk parameter, and we examine the equivalence between the HDE of the present work and the generalized HDE.