Growth of perturbations in dark energy parametrization scenarios

Abstract

In this paper, we study the evolution of dark matter perturbations in the linear regime by considering the possibility of dark energy perturbations. To do this, two popular parameterizations, CPL and BA with same number of free parameters and different redshift dependency have been considered. We integrate the full relativistic equations to obtain the growth of matter fluctuations for both clustering and smooth versions of CPL and BA dark energy. The growth rate is larger (smaller) than the $\Lambda$CDM in the smooth cases when $w<-1$ ($w>-1$) but the dark energy clustering gives a larger (smaller) growth index when $w>-1$ ($w<-1$). We measure the relative difference of the growth rate with respect to concordance $\Lambda$CDM and study how it changes depending on the free parameters. Furthermore, it is found that the difference of growth rates between smooth CPL and BA is negligible, less than $0.5\%$, while for clustering case, the difference is considerable and might be as large as 2$\%$. Eventually, using the latest geometrical and growth rate observational data, we perform an overall likelihood analysis and show that both smooth and clustering cases of CPL and BA parameterizations are consistent with observations. In particular, we find the dark energy FoM $\sim 70$ for the BA and $\sim 30$ for the CPL which indicates BA model constraints relatively better than CPL one.

Accepted for publication in PRD

References in corpus (15)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• A parametric model for dark energy
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Measuring the Speed of Dark: Detecting Dark Energy Perturbations
• Escaping from the black hole?
• Slow-roll k-essence
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• Effects of shear and rotation on the spherical collapse model for clustering dark energy
• The spherical collapse model and cluster formation beyond the $\Lambda$ cosmology: Indications for a clustered dark energy?
• Probing non-standard gravity with the growth index: a background independent analysis
• The growth index of matter perturbations using the clustering of dark energy
• Constraints to dark energy using PADE parameterisations

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