Cosmological distances (Kayser+ 1997)

Details Cosmological distances (Kayser+ 1997) Cosmological distances (Kayser+ 1997)

May 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ycat..33180680k&link_type=abstract

VizieR On-line Data Catalog: J/A+A/318/680. Originally published in: 1997A&A...318..680K

Mathematics

Logic

Gravitational Lensing

Scientific paper

The calculation of distances is of fundamental importance in extragalactic astronomy and cosmology. However, no practical implementation for the general case has previously been available. We derive a second-order differential equation for the angular size distance valid not only in all homogeneous Friedmann-Lemaitre cosmological models, parametrised by λ0 and {OMEGA}0, but also in inhomogeneous `on-average' Friedmann-Lemaitre models, where the inhomogeneity is given by the (in the general case redshift-dependent) parameter η. Since most other cosmological distances can be obtained trivially from the angular size distance, and since the differential equation can be efficiently solved numerically, this offers for the first time a practical method for calculating distances in a large class of cosmological models. We also briefly discuss our numerical implementation, which is publicly available. (1 data file).

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