Cosmological evolution and statefinder diagnostic for new holographic dark energy model in non flat universe

TL;DR

This paper investigates a new holographic dark energy model in a non-flat universe, analyzing its cosmological evolution, statefinder diagnostics, and compatibility with observational data.

Contribution

It introduces and analyzes a new holographic dark energy model with a specific infrared cutoff in a non-flat universe, including statefinder diagnostics and observational data fitting.

Findings

Evolutionary trajectories depend on model parameters.

Model fits observational data well.

Statefinder parameters distinguish this model from others.

Abstract

In this paper, the holographic dark energy model with new infrared cut-off proposed by Granda and Oliveros has been investigated in spatially non flat universe. The dependency of the evolution of equation of state, deceleration parameter and cosmological evolution of Hubble parameter on the parameters of new HDE model are calculated. Also, the statefinder parameters $r$ and $s$ in this model are derived and the evolutionary trajectories in $s-r$ plane are plotted. We show that the evolutionary trajectories are dependent on the model parameters of new HDE model. Eventually, in the light of SNe+BAO+OHD+CMB observational data, we plot the evolutionary trajectories in $s-r$ and $q-r$ planes for best fit values of the parameters of new HDE model.