Growth factor parametrization and modified gravity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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7 figures, use revtex, v2: minor corrections, PRD in press

Scientific paper

10.1103/PhysRevD.78.123010

The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining the cosmic acceleration. The growth rate is parametrized by the growth index $\gamma$. We discuss the dependence of $\gamma$ on the matter energy density $\Omega$ and its current value $\Omega_0$ for a more accurate approximation of the growth factor. The observational data, including the data of the growth rate, are used to fit different models. The data strongly disfavor the Dvali-Gabadadze-Porrati model. For the dark energy model with a constant equation of state, we find that $\Omega_0=0.27\pm 0.02$ and $w=-0.97\pm 0.09$. For the $\Lambda$CDM model, we find that $\gamma=0.64^{+0.17}_{-0.15}$. For the Dvali-Gabadadze-Porrati model, we find that $\gamma=0.55^{+0.14}_{-0.13}$.

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