Distance-Redshift in Inhomogeneous FLRW
Astrophysics
2007-05-23 v2
Abstract
We give distance--redshift relations in terms of elliptic integrals for three different mass distributions of the Friedmann-Lema\^\i tre-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 -- values the elliptic integrals reduce to more familiar functions. These new expressions for distance-redshift significantly reduce computer evaluation times.
Cite
@article{arxiv.astro-ph/0002334,
title = {Distance-Redshift in Inhomogeneous FLRW},
author = {R. Kantowski and J. K. Kao and R. C. Thomas},
journal= {arXiv preprint arXiv:astro-ph/0002334},
year = {2007}
}
Comments
22 pages, 3 figures