f(R) gravity: scalar perturbations in the late Universe - Kölner UniversitätsPublikationsServer

Eingorn, Maxim ORCID: 0000-0002-1545-7818, Novak, Jan ORCID: 0000-0002-5943-4052 and Zhuk, Alexander ORCID: 0000-0001-9107-5048 (2014). f(R) gravity: scalar perturbations in the late Universe. Eur. Phys. J. C, 74 (8). NEW YORK: SPRINGER. ISSN 1434-6052

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DOI:10.1140/epjc/s10052-014-3005-1

Abstract

In this paper we study scalar perturbations of the metric for nonlinear models. We consider the Universe at the late stage of its evolution and deep inside the cell of uniformity. We investigate the astrophysical approach in the case of Minkowski spacetime background and two cases in the cosmological approach, the large scalaron mass approximation and the quasi-static approximation, getting explicit expressions for scalar perturbations for both these cases. In the most interesting quasi-static approximation, the scalar perturbation functions depend on both the nonlinearity function and the scale factor . Hence, we can study the dynamical behavior of the inhomogeneities (e.g., galaxies and dwarf galaxies) including into consideration their gravitational attraction and the cosmological expansion, and also taking into account the effects of nonlinearity. Our investigation is valid for functions which have stable de Sitter points in future with respect to the present time, which is typical for the most popular models.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Eingorn, Maxim	UNSPECIFIED	orcid.org/0000-0002-1545-7818	UNSPECIFIED
Novak, Jan	UNSPECIFIED	orcid.org/0000-0002-5943-4052	UNSPECIFIED
Zhuk, Alexander	UNSPECIFIED	orcid.org/0000-0001-9107-5048	UNSPECIFIED