Scalar perturbations in cosmological $f(R)$ models: the cosmic screening approach

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 $\Phi (t,\mathbf{r})$ and $\Psi (t,\mathbf{r})$ 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.

arXiv comment7 pages, no figures and tables; matches the version published in EPJC

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Cited by in corpus (6)

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• Duel of cosmological screening lengths
• Low-energy modified gravity signatures on the large-scale structures
• Scalar and vector perturbations in a universe with nonlinear perfect fluid
• Testing Exponential $f(R)$ Gravity with CMB, DESI-DR2, and Supernova Data
• Effects of nonlinearity of $f(R)$ gravity and perfect fluid in Kaluza-Klein models with spherical compactification