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

TLDR: In this article, the authors study the holographic dark energy model in a non-flat universe from the state-finder viewpoint and show that the contributions of the spatial curvature in the model can be diagnosed explicitly by the statefinder diagrams.

Abstract: In this paper, we study the holographic dark energy model in a 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 discriminate between this scenario and other dark energy models. As we show, the contributions of the spatial curvature in the model can be diagnosed 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.