A curious relation between the flat cosmological model and the elliptic integral of the first kind
Cosmology and Nongalactic Astrophysics
2015-07-22 v1
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.
Keywords
Cite
@article{arxiv.1306.4736,
title = {A curious relation between the flat cosmological model and the elliptic integral of the first kind},
author = {A. Meszaros and J. Ripa},
journal= {arXiv preprint arXiv:1306.4736},
year = {2015}
}
Comments
Accepted for publication in Astronomy & Astrophysics. 2 pages