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arXiv · 1412.6132

On the relation between the non-flat cosmological models and the elliptic integral of first kind

A. Meszaros·J. Ripa
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Abstract

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. The purpose of this article is to search for a similar relation for the non-flat models. A Taylor series was used. The elliptic integral of the first kind can indeed be applied. 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.

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A. Meszaros, J. Ripa. 2014-12-17. On the relation between the non-flat cosmological models and the elliptic integral of first kind. https://doi.org/10.1051/0004-6361%2F201425201

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