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Distance-Redshift in Inhomogeneous FLRW

R. Kantowski·J. K. Kao·R. C. Thomas
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Abstract

We give distance--redshift relations in terms of elliptic integrals for three different mass distributions of the Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) cosmology. These models are dynamically pressure free FLRW on large scales but, due to mass inhomogeneities, differ in their optical properties. They are the filled-beam model (standard FLRW), the empty-beam model (no mass density exists in the observing beams) and the 2/3 filled-beam model. For special $\OM$-- $\OL$ values the elliptic integrals reduce to more familiar functions. These new expressions for distance-redshift significantly reduce computer evaluation times.

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R. Kantowski, J. K. Kao, R. C. Thomas. 2000-06-28. Distance-Redshift in Inhomogeneous FLRW. https://arxiv.org/abs/astro-ph/0002334

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