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A general and practical method for calculating cosmological distances | | Rainer Kayser
; Phillip Helbig
; Thomas Schramm
; | | Date: |
15 May 1996 | | Journal: | Astron.Astrophys. 318 (1997) 680-686 | | Abstract: | 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. | | Source: | arXiv, astro-ph/9603028 | | Services: | Forum | Review | PDF | Favorites | |
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