Abstract
We investigate cosmological perturbations for nonlinear f(R) models within the cosmic screening approach. Matter is considered both in the form of a set of discrete point-like massive bodies and in the form of a continuous pressureless perfect fluid. We perform full relativistic analysis of the first-order theory of scalar perturbations for arbitrary nonlinear f(R) models and demonstrate that scalar potentials {varPhi }(t,{mathbf {r}}) and {varPsi }(t,{mathbf {r}}) are determined by a system of only two master equations. Our equations are applicable at all spatial scales as long as the approximation delta R/{bar{R}} ll 1 (which is usually assumed in studies devoted to cosmological perturbations in f(R) models) works.
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