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

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.

arXiv comment20 pages, 9 figures

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