Analytic solution for matter density perturbations in a class of viable cosmological f(R) models
Cosmology and Nongalactic Astrophysics
2010-02-23 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
For a class of viable cosmological models in gravity which deviation from the Einstein gravity decreases as a inverse power law of the Ricci scalar for large , 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.
Keywords
Cite
@article{arxiv.0905.0730,
title = {Analytic solution for matter density perturbations in a class of viable cosmological f(R) models},
author = {Hayato Motohashi and Alexei A. Starobinsky and Jun'ichi Yokoyama},
journal= {arXiv preprint arXiv:0905.0730},
year = {2010}
}
Comments
11 pages; More discussion and references added, results unchanged, matches the version to be published in IJMPD; A typo in eq. (25) is fixed