GCG Parametrization for Growth Function and Current Constraints

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.

19 pages, Latex Style, 5 EPS figures, 3 Tables, Revised and improved version

References in corpus (17)

• Dynamics of dark energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Large Scale Structure as a Probe of Gravitational Slip
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Observational Tests of Modified Gravity
• The 2dF-SDSS LRG and QSO Survey: QSO clustering and the L-z degeneracy
• Testing LCDM with the Growth Function δ(a): Current Constraints
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• On the growth of linear perturbations
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Observational constraints on the linear fluctuation growth rate
• Growth factor parametrization and modified gravity
• The growth of matter perturbations in some scalar-tensor DE models
• Nonlinear growth in modified gravity theories of dark energy
• Testing nonstandard cosmological models with SNLS3 supernova data and other cosmological probes

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• Growth Rate in the Dynamical Dark Energy Models
• Discriminating dark energy models by using the statefinder hierarchy and the growth rate of matter perturbations
• Latest data constraint of some parameterized dark energy models
• Growth of structures using redshift space distortion in $f(T)$ Cosmology
• Thawing Versus. Tracker Behaviour: Observational Evidence
• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• Chaplygin Gas of Tachyon Nature Imposed by Symmetry and Constrained via H(z) Data
• CDM and Baryons as Distinct Fluids in a Linear Approximation for the Growth of Structure
• Perspectives for studying the dark energy at z>2 with galaxy surveys
• Absence of antisymmetric tensor fields : Clue from f(R) model of gravity