GCG Parametrization for Growth Function and Current Constraints

TL;DR

This paper introduces a new parametrization for the growth function in cosmology, specifically for models with Generalised Chaplygin Gas as dark energy, and constrains it using extensive observational data.

Contribution

It proposes a novel redshift-dependent growth index parametrization that accurately models various dark energy scenarios and constrains it with recent large-scale structure data.

Findings

The parametrization fits a wide range of dark energy models.

Current data cannot distinguish between transient and eternal acceleration.

The growth history is consistent with a universe that allows transient acceleration.

Abstract

We study the linear growth function $f$ for large scale structures in a cosmological scenario where Generalised Chaplygin Gas (GCG) serves as dark energy candidate. We parametrize the growth index parameter as a function of redshift and do a comparative study between the theoretical growth rate and the proposed parametrization. Moreover, we demonstrate that growth rates for a wide range of dark energy models can be modeled accurately by our proposed parametrization. Finally, we compile a data set consisting of 28 data points within redshift range (0.15,3.8) to constrain the growth rate. It includes direct growth data from various projects/surveys including the latest data from the Wiggle-Z measurements. It also includes data constraining growth indirectly through the rms mass fluctuation $\sigma_8(z)$ inferred from Ly-$\alpha$ measurements at various redshifts. By fitting our proposed parametrization for $f$ to these data, we show that growth history of large scale structures of the universe although allows a transient acceleration, one cannot distinguish it at present with an eternally accelerating universe.