The dispersion of growth of matter perturbations in f(R) gravity

Details The dispersion of growth of matter perturbations in f(R) gravity The dispersion of growth of matter perturbations in f(R) gravity

2009-08-19

arxiv.org/abs/0908.2669v1

Phys.Rev.D80:084044,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 7 figures

Scientific paper

10.1103/PhysRevD.80.084044

We study the growth of matter density perturbations delta_m for a number of viable f(R) gravity models that satisfy both cosmological and local gravity constraints, where the Lagrangian density f is a function of the Ricci scalar R. If the parameter m=Rf_{,RR}/f_{,R} today is larger than the order of 10^{-6}, linear perturbations relevant to the matter power spectrum evolve with a growth rate s=d (ln delta_m)/d (ln a) (a is the scale factor) that is larger than in the LCDM model. We find the window in the free parameter space of our models for which spatial dispersion of the growth index gamma_0= gamma(z=0) (z is the redshift) appears in the range of values 0.40< gamma_0<0.55, as well as the region in parameter space for which there is essentially no dispersion and gamma_0 converges to values around 0.40

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