Growth of matter perturbations for realistic $F(R)$ models

Abstract

Two different realistic $F(R)$ modified gravity models are considered in the framework of the Friedmann-Lemetre-Robertson-Walker universe. The parameters of these two models are adjusted to reach coherence with the most recent and accurate observations of the current universe. A study of the growth of matter density perturbations is done, and several parametrizations of the growth index are developed for both models. The ansatz for the growth index given by $\gamma ={\gamma }_0+{\gamma }_{1}z/(1+z)$ seems to be the best parametrization for the two models considered. Finally, the values obtained for ${\gamma }_0$ and ${\gamma }_1$ can be used in order to characterize these two models and to differentiate them from others such as the Hu-Sawicki model.

24 pages, 14 figures, submitted to PRD

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Cited by in corpus (2)

• Constraining $f(R)$ gravity by the Large Scale Structure
• Parametrizing growth in dark energy and modified gravity models