Statefinder parameters in two dark energy models

TL;DR

This paper analyzes the behavior of statefinder parameters in two dark energy models, including an interacting dark energy-dark matter model in General Relativity and a generalized DGP brane model with energy exchange, providing insights into their cosmological evolution.

Contribution

It introduces a detailed study of statefinder parameters in two complex dark energy models, highlighting their attractor solutions and evolution trajectories.

Findings

Identified the attractor points for each model's statefinder parameters.

Produced redshift-dependent plots of $s,r$ for both models.

Mapped the ($s-r$) plane to distinguish model behaviors.

Abstract

The statefinder parameters ($r,s$) in two dark energy models are studied. In the first, we discuss in four-dimensional General Relativity a two fluid model, in which dark energy and dark matter are allowed to interact with each other. In the second model, we consider the DGP brane model generalized by taking a possible energy exchange between the brane and the bulk into account. We determine the values of the statefinder parameters that correspond to the unique attractor of the system at hand. Furthermore, we produce plots in which we show $s,r$ as functions of red-shift, and the ($s-r$) plane for each model.