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arxiv: 1510.02633 · v1 · pith:NBVVPYWSnew · submitted 2015-10-09 · 🌀 gr-qc

Several parametrization dark energy models comparison with Statefinder hierarchy

classification 🌀 gr-qc
keywords expandafteruppercasestatefinderdarkdiscriminationenergylambdamodels
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We employ the Statefinder hierarchy and the growth rate of matter perturbations to explore the discrimination of $\Lambda$CDM and some parametrization dark energy models including the Chevallier-Polarski-Linder (CPL), the Jassal-Bagla-Padmanabhan (JBP), the Pad\'{e}(\uppercase\expandafter{\romannumeral1}), (\uppercase\expandafter{\romannumeral2}). We find that the statefinder $S_3^{(m)}$ containing third derivatives of $a(t)$ can differentiate CPL and JBP from $\Lambda$CDM and Pad\'{e}(\uppercase\expandafter{\romannumeral1}), (\uppercase\expandafter{\romannumeral2}). While the statefinder $S_4^{(1)}$ involving fourth order derivatives of $a(t)$ has more powerful discrimination that it can distinguish the Pad\'{e}(\uppercase\expandafter{\romannumeral1}), (\uppercase\expandafter{\romannumeral2}) from $\Lambda$CDM. In addition, we show that the growth rate of matter perturbations does not play a significant role for discrimination of such parametrization dark energy models.

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