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Astrophysics > Cosmology and Nongalactic Astrophysics

arXiv:1306.4736 (astro-ph)
[Submitted on 20 Jun 2013]

Title:A curious relation between the flat cosmological model and the elliptic integral of the first kind

Authors:A. Meszaros, J. Ripa
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Abstract: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. The purpose of this article is to present such a relation also for the non-zero cosmological constant, if the universe is spatially flat. A definite integral is used. The integration ends in the elliptic integral of the first kind. The result shows that no numerical integration is needed for the non-zero cosmological constant, if the universe is spatially flat.
Comments: Accepted for publication in Astronomy & Astrophysics. 2 pages
Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
Cite as: arXiv:1306.4736 [astro-ph.CO]
  (or arXiv:1306.4736v1 [astro-ph.CO] for this version)
  https://doi.org/10.48550/arXiv.1306.4736
Journal reference: Astronomy & Astrophysics 556 (2013) A13
Related DOI: https://doi.org/10.1051/0004-6361/201322088

Submission history

From: Jakub Ripa [view email]
[v1] Thu, 20 Jun 2013 01:55:59 UTC (19 KB)
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