On the growth of linear perturbations

Abstract

We consider the linear growth of matter perturbations in various dark energy (DE) models. We show the existence of a constraint valid at $z=0$ between the background and dark energy parameters and the matter perturbations growth parameters. For $\Lambda$CDM ${\gamma }_0^{\prime }\equiv {\frac{d\gamma }{dz}}_0$ lies in a very narrow interval $-0.0195\le {\gamma }_0^{\prime }\le -0.0157$ for $0.2\le {\Omega }_{m,0}\le 0.35$. Models with a constant equation of state inside General Relativity (GR) are characterized by a quasi-constant ${\gamma }_0^{\prime }$, for ${\Omega }_{m,0}=0.3$ for example we have ${\gamma }_0^{\prime }\approx -0.02$ while ${\gamma }_0$ can have a nonnegligible variation. A smoothly varying equation of state inside GR does not produce either $|{\gamma }_0^{\prime }|>0.02$. A measurement of $\gamma (z)$ on small redshifts could help discriminate between various DE models even if their ${\gamma }_0$ is close, a possibility interesting for DE models outside GR for which a significant ${\gamma }_0^{\prime }$ can be obtained.

8 pages, 8 figures. Results unchanged; clarifying sentence added; one reference added

References in corpus (21)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• Cluster Abundance Constraints on Quintessence Models
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Reconstructing Dark Energy
• Are f(R) dark energy models cosmologically viable ?
• Scalar-tensor gravity in an accelerating universe
• Extended Quintessence
• How to determine an effective potential for a variable cosmological term
• Scalar-Tensor Gravity and Quintessence
• Scalar-Tensor Models of Normal and Phantom Dark Energy
• Dark Energy versus Modified Gravity
• Quintessence, scalar-tensor theories and non-Newtonian gravity

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