Statefinder diagnosis in a non-flat universe and the holographic model of dark energy

TL;DR

This paper analyzes the holographic dark energy model in a non-flat universe using statefinder and w-w' diagnostics, demonstrating how spatial curvature influences the model's evolution and distinguishing it from other dark energy scenarios.

Contribution

It introduces a comprehensive statefinder and w-w' analysis of holographic dark energy in non-flat universes, highlighting the role of spatial curvature in model differentiation.

Findings

Statefinder diagrams effectively distinguish holographic dark energy from other models.

Spatial curvature contributions can be explicitly diagnosed via statefinder trajectories.

The w-w' plane provides a complementary dynamical diagnosis of the model.

Abstract

In this paper, we study the holographic dark energy model in non-flat universe from the statefinder viewpoint. We plot the evolutionary trajectories of the holographic dark energy model for different values of the parameter $c$ as well as for different contributions of spatial curvature, in the statefinder parameter-planes. The statefinder diagrams characterize the properties of the holographic dark energy and show the discrimination between this scenario and other dark energy models. As we show, the contributions of the spatial curvature in the model can be diagnosed out explicitly by the statefinder diagrams. Furthermore, we also investigate the holographic dark energy model in the $w-w'$ plane, which can provide us with a useful dynamical diagnosis complement to the statefinder geometrical diagnosis.