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

preprint2014arXivOpen access

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 ΛΛCDM 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 ΛΛCDM can be distinguished well from each other at the present epoch by using the composite diagnostic {ε(z),S5(1)}\{ε(z), S^{(1)}_{5}\}. Using other combinations, such as {S3(1),S4(1)}\{S^{(1)}_{3}, S^{(1)}_4\}, {S3(1),S5}\{S^{(1)}_{3}, S_{5}\}, {ε(z),S3(1)}\{ε(z), S^{(1)}_{3}\}, and {ε(z),S4}\{ε(z), S_4 \}, some of these five dark energy models cannot be distinguished.

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