%0 Journal Article %T The dispersion of growth of matter perturbations in f(R) gravity %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Tsujikawa, Shinji %A Gannouji, Radouane %A Moraes, Bruno %A Polarski, David %< avec comité de lecture %Z 09-076 %@ 1550-7998 %J Physical Review D %I American Physical Society %V 80 %N 8 %P 084044 %8 2009-10-29 %D 2009 %Z 0908.2669 %R 10.1103/PhysRevD.80.084044 %K Astrophysics %K Cosmology and Extragalactic Astrophysics %K Phenomenology %K High Energy Physics %K Theory %K General Relativity and Quantum Cosmology %Z PACS: 04.50.Kd; 95.36.+x; 98.80.Cq %Z Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] %Z Sciences of the Universe [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] %Z Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph] %Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles %X We study the growth of matter density perturbations delta_m for a number ofviable f(R) gravity models that satisfy both cosmological and local gravityconstraints, where the Lagrangian density f is a function of the Ricci scalarR. If the parameter m=Rf_{,RR}/f_{,R} today is larger than the order of10^{-6}, linear perturbations relevant to the matter power spectrum evolve witha growth rate s=d (ln delta_m)/d (ln a) (a is the scale factor) that is largerthan in the LCDM model. We find the window in the free parameter space of ourmodels for which spatial dispersion of the growth index gamma_0= gamma(z=0) (zis the redshift) appears in the range of values 0.40< gamma_0<0.55, as well asthe region in parameter space for which there is essentially no dispersion andgamma_0 converges to values around 0.40 %G English %L hal-00430268 %U https://hal.science/hal-00430268 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2