The growth of linear perturbations in the DGP model

Details The growth of linear perturbations in the DGP model The growth of linear perturbations in the DGP model

2009-05-11

arxiv.org/abs/0905.1735v2

Phys.Lett.B677:12-15,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 4 figuers, to appear in PLB

Scientific paper

10.1016/j.physletb.2009.05.007

We study the linear growth of matter perturbations in the DGP model with the growth index $\gamma$ as a function of redshift. At the linear approximation: $\gamma(z)\approx\gamma_0+\gamma_0^\prime z $, we find that, for $0.2\leq\Omega_{m,0}\leq0.35$, $\gamma_0$ takes the value from 0.658 to 0.671, and $\gamma_0^\prime$ ranges from 0.035 to 0.042. With three low redshift observational data of the growth factor, we obtain the observational constraints on $\gamma_0$ and $\gamma_0'$ for the $\Lambda CDM$ and DGP models and find that the observations favor the $\Lambda CDM$ model but at the $1\sigma$ confidence level both the $\Lambda CDM$ and DGP models are consistent with the observations.

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