The Dyer-Roeder distance-redshift relation in inhomogeneous universes
Department of Physics, Stockholm University, 106 91 Stockholm, Sweden
Corresponding author: firstname.lastname@example.org
Accepted: 16 November 2001
Using Monte-Carlo methods, we determine the best-fit value of the homogeneity parameter α in the Dyer-Roeder distance-redshift relation for a variety of redshifts, inhomogeneity models and cosmological parameter values. The relation between α and the fraction of compact objects, fp, is found to be approximately linear. This relation can be parametrized with reasonable accuracy for all cases treated in this paper by where .
Key words: cosmology: theory / gravitational lensing
© ESO, 2002