Scalar perturbations in f(R) cosmologies in the late Universe
Archivum Mathematicum (2017)
- Volume: 053, Issue: 5, page 313-324
- ISSN: 0044-8753
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topNovák, Jan. "Scalar perturbations in f(R) cosmologies in the late Universe." Archivum Mathematicum 053.5 (2017): 313-324. <http://eudml.org/doc/294621>.
@article{Novák2017,
abstract = {Standard approach in cosmology is hydrodynamical approach, when galaxies are smoothed distributions of matter. Then we model the Universe as a fluid. But we know, that the Universe has a discrete structure on scales 150 - 370 MPc. Therefore we must use the generalized mechanical approach, when is the mass concentrated in points. Methods of computations are then different. We focus on $f(R)$-theories of gravity and we work in the cell of uniformity in the late Universe. We do the scalar perturbations and we use 3 approximations. First we neglect the time derivatives and we do the astrophysical approach and we find the potentials $\Phi $ and $\Psi $ in this case. Then we do the large scalaron mass approximation and we again obtain the potentials. Final step is the quasi-static approximation, when we use the equations from astrophysical approach and the result are the potentials $\Phi $ and $\Psi $. The resulting potentials are combination of Yukawa terms, which are characteristic for $f(R)$-theories, and standard potential.},
author = {Novák, Jan},
journal = {Archivum Mathematicum},
keywords = {mechanical approach; Hubble law; Friedmann equation; Einstein equation; scalar perturbation; tensor of energy-momentum},
language = {eng},
number = {5},
pages = {313-324},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Scalar perturbations in f(R) cosmologies in the late Universe},
url = {http://eudml.org/doc/294621},
volume = {053},
year = {2017},
}
TY - JOUR
AU - Novák, Jan
TI - Scalar perturbations in f(R) cosmologies in the late Universe
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 5
SP - 313
EP - 324
AB - Standard approach in cosmology is hydrodynamical approach, when galaxies are smoothed distributions of matter. Then we model the Universe as a fluid. But we know, that the Universe has a discrete structure on scales 150 - 370 MPc. Therefore we must use the generalized mechanical approach, when is the mass concentrated in points. Methods of computations are then different. We focus on $f(R)$-theories of gravity and we work in the cell of uniformity in the late Universe. We do the scalar perturbations and we use 3 approximations. First we neglect the time derivatives and we do the astrophysical approach and we find the potentials $\Phi $ and $\Psi $ in this case. Then we do the large scalaron mass approximation and we again obtain the potentials. Final step is the quasi-static approximation, when we use the equations from astrophysical approach and the result are the potentials $\Phi $ and $\Psi $. The resulting potentials are combination of Yukawa terms, which are characteristic for $f(R)$-theories, and standard potential.
LA - eng
KW - mechanical approach; Hubble law; Friedmann equation; Einstein equation; scalar perturbation; tensor of energy-momentum
UR - http://eudml.org/doc/294621
ER -
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