Distance-Redshift Relations in Inhomogeneous Friedmann-Lemaître-Robertson-Walker Cosmology

Details Distance-Redshift Relations in Inhomogeneous Friedmann-Lemaître-Robertson-Walker Cosmology Distance-Redshift Relations in Inhomogeneous Friedmann-Lemaître-Robertson-Walker Cosmology

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000apj...545..549k&link_type=abstract

The Astrophysical Journal, Volume 545, Issue 2, pp. 549-560.

Astronomy and Astrophysics

Astronomy

21

Cosmology: Theory, Cosmology: Large-Scale Structure Of Universe

Scientific paper

We give distance-redshift relations in terms of elliptic integrals for three different mass distributions of the Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology. These models are dynamically pressure-free FLRW cosmology 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 Ωm-ΩΛ values, the elliptic integrals reduce to more familiar functions. These new expressions for distance-redshift significantly reduce computer evaluation times.

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