Discriminating dark energy models by using the statefinder hierarchy and the growth rate of matter perturbations

Abstract

We apply the Statefinder hierarchy and the growth rate of matter perturbations to discriminate modified Chaplygin gas (MCG), generalized Chaplygin gas (GCG), superfluid Chaplygin gas (SCG), purely kinetic k-essence (PKK), and $\Lambda$CDM model. We plot the evolutional trajectories of these models in the statefinder plane and in the composite diagnostic plane. We find that GCG, MCG, SCG, PKK, and $\Lambda$CDM can be distinguished well from each other at the present epoch by using the composite diagnostic $\{\epsilon (z),S_5^{(1)}\}$. Using other combinations, such as $\{S_3^{(1)},S_4^{(1)}\}$, $\{S_3^{(1)},S_5\}$, $\{\epsilon (z),S_3^{(1)}\}$, and $\{\epsilon (z),S_4\}$, some of these five dark energy models cannot be distinguished.

12 pages, 9 figures

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Cited by in corpus (4)

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• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Statefinder hierarchy exploration of the extended Ricci dark energy
• Observational constraints on thawing quintessence scalar field model