Statefinder parameters in two dark energy models

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.

16 pages, 2 tables, 7 figures

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• Geometrical diagnostic for purely kinetic k-essence dark energy
• Discriminating dark energy models by using the statefinder hierarchy and the growth rate of matter perturbations
• Statefinder Diagnostic for Quintessence with or without Thermal Interaction
• Statefinder parameters for quantum effective Yang-Mills condensate dark energy model
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Generalizing thawing dark energy models: the standard vis-à-vis model independent diagnostics
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• Statefinder analysis of universe models with a viscous cosmic fluid and a fluid with a non-linear equation of state
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• Evolution of matter perturbations in the context of cosmic slowing down