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

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 (t). We plot some physical quantities and give interpretations of the results obtained. Finally, we compared our model with the ΛCDM model by analyzing the Jerk parameter, and we examine the equivalence between the HDE of the present work and the generalized HDE.