Holographic dark energy in a non-flat universe with Granda-Oliveros cut-off

TL;DR

This paper extends the holographic dark energy model with Granda-Oliveros cut-off to non-flat universes, deriving key cosmological parameters and recovering known results in the flat universe limit.

Contribution

It generalizes the GO holographic dark energy model to non-flat geometries and derives the evolution of cosmological parameters in this context.

Findings

Derived the evolution of dark energy density in non-flat universe

Obtained the deceleration parameter and equation of state for the model

Recovered GO model results in the flat universe limit

Abstract

Motivated by Granda and Oliveros (GO) model, we generalize their work to the non-flat case. We obtain the evolution of the dark energy density, the deceleration and the equation of state parameters for the holographic dark energy model in a non-flat universe with GO cut-off. In the limiting case of a flat universe, i.e. $k = 0$, all results given in GO model are obtained.