On the growth of linear perturbations

By D. Polarski, R. Gannouji. 2007

147 citations recorded by the source corpus.

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 ΛCDM γ 0 ′ ≡ d γ d z | 0 lies in a very narrow interval − 0.0195 ⩽ γ 0 ′ ⩽ − 0.0157 for 0.2 ⩽ Ω m , 0 ⩽ 0.35 . Models with a constant equation of state inside General Relativity (GR) are characterized by a quasi-constant γ 0 ′ , for Ω m , 0 = 0.3 for example we have γ 0 ′ ≈ − 0.02 while γ 0 can have a nonnegligible variation. A smoothly varying equation of state inside GR does not produce either | γ 0 ′ | > 0.02 . A measurement of γ ( z ) on small redshifts could help discriminate between various DE models even if their γ 0 is close, a possibility interesting for DE models outside GR for which a significant γ 0 ′ can be obtained.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/72199ff77638ab49ef52961a0ee1bc02480c134a

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Citations in the corpus

f(R) Theories (2010, background): “The existence of the latter phase gives rise to the modification to the matter power spectrum [146, 74, 544, 526, 251] (see also [597, 493, 494, 94, 446, 278, 435] for related works).”
Tension and constraints on modified gravity parametrizations of $G_{\textrm{eff}}(z)$ from growth rate and Planck data (2017, background): “[95] David Polarski and Radouane Gannouji, “On the growth of linear perturbations,” Phys.”
Weighing the giants – IV. Cosmology and neutrino mass (2014, result): “…growth index, γ (e.g. Linder 2005), f(a) = d ln δ d ln a = Ωm(a) γ , (14) where δ is the linear density contrast in synchronous gauge (at any scale), and where γ = 0.55 approximately corresponds to GR for a wide range of expansion histories compatible with current data (Polarski & Gannouji 2008).”
Evolution of the f σ 8 tension with the Planck 15 / Λ CDM determination and implications for modified gravity theories (2018, background): “[71] David Polarski and Radouane Gannouji, “On the growth of linear perturbations,” Phys.”
Cosmological solutions and growth index of matter perturbations in f(Q) gravity (2021, methodology): “Finally, we generalized the analysis by considering the growth index parametrization, which varies with redshift introduced in [69].”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, methodology): “As usual, we use the simple prescription (Peebles 1976; Lahav et al. 1991; Polarski and Gannouji 2008; Linder 2005; Wang and Steinhardt 1998)”