Analytic Solution for Matter Density Fluctuations in f(R) Models of Cosmic Acceleration

Mathematics – Logic

Scientific paper

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F(R) Gravity, Cosmological Models, Density Perturbations, Analytic Solution

Scientific paper

We present an analytic solution for density perturbations in the matter component during the matter dominated stage in terms of Gauss' hypergeometric functions for a class of f(R) gravity models of accelerated expansion. By using the analytic solution, we obtain an analytical expression for the matter transfer function at scales much less than the present Hubble scale.

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