On the growth of linear perturbations

dc.creatorPolarski, David
dc.creatorGannouji, Radouane
dc.date2007-10-08
dc.date2007-10-11
dc.date.accessioned2026-07-07T11:19:50Z
dc.date.available2026-07-07T11:19:50Z
dc.descriptionWe 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 $Λ$CDM $γ'_0\equiv \frac{dγ}{dz}_0$ lies in a very narrow interval $-0.0195 \le γ'_0 \le -0.0157$ for $0.2 \le Ω_{m,0}\le 0.35$. 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 $γ'_0\approx -0.02$ 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.
dc.description8 pages, 8 figures. Results unchanged; clarifying sentence added; one reference added
dc.identifierhttps://arxiv.org/abs/0710.1510
dc.identifierhttp://arxiv.org/abs/0710.1510
dc.identifierPhys.Lett.B660:439-443,2008
dc.identifierdoi:10.1016/j.physletb.2008.01.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193822
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the growth of linear perturbations
dc.typetext

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