English

Several parametrization dark energy models comparison with Statefinder hierarchy

General Relativity and Quantum Cosmology 2015-10-12 v1

Abstract

We employ the Statefinder hierarchy and the growth rate of matter perturbations to explore the discrimination of Λ\LambdaCDM 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 S3(m)S_3^{(m)} containing third derivatives of a(t)a(t) can differentiate CPL and JBP from Λ\LambdaCDM and Pad\'{e}(\uppercase\expandafter{\romannumeral1}), (\uppercase\expandafter{\romannumeral2}). While the statefinder S4(1)S_4^{(1)} involving fourth order derivatives of a(t)a(t) has more powerful discrimination that it can distinguish the Pad\'{e}(\uppercase\expandafter{\romannumeral1}), (\uppercase\expandafter{\romannumeral2}) from Λ\LambdaCDM. 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.

Cite

@article{arxiv.1510.02633,
  title  = {Several parametrization dark energy models comparison with Statefinder hierarchy},
  author = {Jing-Zhao Qi and Wen-Biao Liu},
  journal= {arXiv preprint arXiv:1510.02633},
  year   = {2015}
}
R2 v1 2026-06-22T11:16:29.805Z