2000/02/16 by R. Kantowski, Kantowski, R., John Kao +4
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/0002334
22 pages, 3 figures
arxiv created 2000/06/28 · arxiv updated 2009/12/01
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.