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 Φ(t,{r}) and Ψ(t,{r}) are determined by a system of only two master equations. Our equations are applicable at all spatial scales as long as the approximation δ R/{\bar{R}} ≪ 1 (which is usually assumed in studies devoted to cosmological perturbations in f( R) models) works.
- Publication:
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European Physical Journal C
- Pub Date:
- August 2018
- DOI:
- 10.1140/epjc/s10052-018-6091-7
- arXiv:
- arXiv:1806.02669
- Bibcode:
- 2018EPJC...78..609A
- Keywords:
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- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 7 pages, no figures and tables