On the relation between the non-flat cosmological models and the elliptic integral of first kind (Research Note)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10315902" target="_blank" >RIV/00216208:11320/15:10315902 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/0004-6361/201425201" target="_blank" >http://dx.doi.org/10.1051/0004-6361/201425201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/0004-6361/201425201" target="_blank" >10.1051/0004-6361/201425201</a>

Result language
angličtina
Original language name
On the relation between the non-flat cosmological models and the elliptic integral of first kind (Research Note)
Original language description
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 searchfor 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.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
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Project
<a href="/en/project/GAP209%2F10%2F0734" target="_blank" >GAP209/10/0734: Gamma-ray bursts</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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