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

References in corpus (17)

• Two new diagnostics of dark energy
• Cosmography of f(R) gravity
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Statefinder Diagnosis for Ricci Dark Energy
• Statefinder diagnosis for the interacting model of holographic dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Cosmic Jerk, Snap and Beyond
• The Statefinder hierarchy: An extended null diagnostic for concordance cosmology
• A new null diagnostic customized for reconstructing the properties of dark energy from BAO data
• Observational Constraints on Modified Chaplygin Gas from Cosmic Growth
• Statefinder parameters in two dark energy models
• Can we ever distinguish between quintessence and a cosmological constant?
• Geometrical diagnostic for purely kinetic k-essence dark energy
• Constraints on the generalized tachyon field models from latest observational data
• First cosmological constraints on the Superfluid Chaplygin gas model
• Large-scale structure in superfluid Chaplygin gas cosmology

Cited by in corpus (9)

• $Om$ diagnostic applied to scalar field models and slowing down of cosmic acceleration
• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Can Holographic dark energy models fit the observational data?
• Model selection and constraints from Holographic dark energy scenarios
• Exploring the Sharma-Mittal HDE models with different diagnostic tools
• Statefinder hierarchy exploration of the extended Ricci dark energy
• Cosmological implications of different baryon acoustic oscillation data
• What if gravity becomes really repulsive in the future?
• Observational constraints on thawing quintessence scalar field model