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On the growth of linear perturbations · Around

2007

On the growth of linear perturbations

Polarski, David, Gannouji, Radouane

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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 $\gamma'_0\equiv \frac{d\gamma}{dz}_0$ lies in a very narrow interval $-0.0195 \le \gamma'_0 \le -0.0157$ 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 $\gamma'_0$, for $\Omega_{m,0}=0.3$ for example we have $\gamma'_0\approx -0.02$ while $\gamma_0$ can have a nonnegligible variation.

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Then

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