| Title:
|
Scalar perturbations in f(R) cosmologies in the late Universe (English) |
| Author:
|
Novák, Jan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2017 |
| Pages:
|
313-324 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
mechanical approach |
| Keyword:
|
Hubble law |
| Keyword:
|
Friedmann equation |
| Keyword:
|
Einstein equation |
| Keyword:
|
scalar perturbation |
| Keyword:
|
tensor of energy-momentum |
| MSC:
|
83C55 |
| MSC:
|
83D05 |
| MSC:
|
83F05 |
| idZBL:
|
Zbl 06861559 |
| idMR:
|
MR3746066 |
| DOI:
|
10.5817/AM2017-5-313 |
| . |
| Date available:
|
2018-01-03T14:49:47Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147022 |
| . |
| Reference:
|
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