| Issue |
A&A
Volume 573, January 2015
|
|
|---|---|---|
| Article Number | A54 | |
| Number of page(s) | 2 | |
| Section | Cosmology (including clusters of galaxies) | |
| DOI | https://doi.org/10.1051/0004-6361/201425201 | |
| Published online | 17 December 2014 | |
Research Note
On the relation between the non-flat cosmological models and the elliptic integral of first kind
1
Charles University in Prague, Faculty of Mathematics and Physics,
Astronomical Institute, V
Holešovičkách 2, 180
00 Prague 8, Czech Republic
e-mail:
meszaros@cesnet.cz
2
Institute of Basic Science, Natural Sciences Campus, Sungkyunkwan
University, Engineering Building 2,
2066 Seobu-ro, Jangan-gu, Suwon, 440-746
Gyeonggi-do,
Korea
e-mail:
ripa.jakub@gmail.com
Received: 22 October 2014
Accepted: 25 October 2014
Context. Recently we have found an analytic integration formula that describes the dependence of the luminosity distance on the redshift for the flat cosmological model with a non-zero cosmological constant.
Aims. The purpose of this article is to search for a similar relation for the non-flat models.
Methods. A Taylor series was used.
Results. The elliptic integral of the first kind can indeed be applied.
Conclusions. The result shows that a combination of the numerical integration with the previous analytic formula can also be useful for the nearly flat cosmological models.
Key words: cosmology: theory
© ESO, 2014
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