Analytic solution for matter density perturbations in a class of viable cosmological f(R) models

Details Analytic solution for matter density perturbations in a class of viable cosmological f(R) models Analytic solution for matter density perturbations in a class of viable cosmological f(R) models

2009-05-06

arxiv.org/abs/0905.0730v3

Int.J.Mod.Phys.D18:1731-1740,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages; More discussion and references added, results unchanged, matches the version to be published in IJMPD; A typo in eq.

Scientific paper

10.1142/S0218271809015278

For a class of viable cosmological models in $f(R)$ gravity which deviation from the Einstein gravity decreases as a inverse power law of the Ricci scalar $R$ for large $R$, an analytic solution for density perturbations in the matter component during the matter dominated stage is obtained in terms of hypergeometric functions. An analytical expression for the matter transfer function at scales much less than the present Hubble scale is also obtained.

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