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

Özgür Akarsu; Ruslan Brilenkov; Maxim Eingorn; Valerii Shulga; Alexander Zhuk

doi:10.1140/epjc/s10052-018-6091-7

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

Özgür Akarsu^*, Ruslan Brilenkov, Maxim Eingorn, Valerii Shulga, Alexander Zhuk

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 δR/ R¯ ≪ 1 (which is usually assumed in studies devoted to cosmological perturbations in f(R) models) works.

Original language	English
Article number	609
Journal	European Physical Journal C
Volume	78
Issue number	8
DOIs	https://doi.org/10.1140/epjc/s10052-018-6091-7
Publication status	Published - 1 Aug 2018

Bibliographical note

Publisher Copyright:
© 2018, The Author(s).

Funding

Acknowledgements ÖA acknowledges support by the Distinguished Young Scientist Award BAGEP of the Science Academy. AZ acknowledges financial support from The Scientific and Technological Research Council of Turkey (TUBITAK) in the scheme of Fellowships for Visiting Scientists and Scientists on Sabbatical Leave (BIDEB 2221). AZ also acknowledges the hospitality of Istanbul Technical University (ITU) where parts of this work were carried out. The work of RB was partially supported by the EMJMD Student Scholarship from Erasmus + : Erasmus Mundus Joint Master Degree programme Astro-Mundus in Astrophysics.

Funders	Funder number
TUBITAK	BIDEB 2221
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Bilim Akademisi

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

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