A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10174142" target="_blank" >RIV/00216208:11320/13:10174142 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/0004-6361/201322088" target="_blank" >http://dx.doi.org/10.1051/0004-6361/201322088</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/0004-6361/201322088" target="_blank" >10.1051/0004-6361/201322088</a>

Result language
angličtina
Original language name
A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note)
Original language description
Context. The dependence of the luminosity distance on the redshift has a key importance in the cosmology. This dependence can well be given by standard functions for the zero cosmological constant. Aims. The purpose of this article is to present a similar relation also for the non-zero cosmological constant, if the universe is spatially flat. Methods. A definite integral was used. Results. The integration ends in the elliptic integral of the first kind. Conclusions. The result shows that no numerical integration is needed for the non-zero cosmological constant if the universe is spatially flat.
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
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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