Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-03-07
Astron.Astrophys. 318 (1997) 680-686
Astronomy and Astrophysics
Astrophysics
12 pages + 12 FORTRAN source files + PostScript User's Guide. Identical versions of everything available from http://www.hs.
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 em homogeneous Friedmann-Lemaitre cosmological models, parametrised by $\lambda_{0}$ 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 $\eta$. 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.
Helbig Phillip
Kayser Rainer
Schramm Thomas
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