Gravitational Lensing Statistics by Galaxy Clusters with Smoothness Parameter Depending on z
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Using the Eikonal approximation we study the effect of the smoothness parameter in the Dyer-Roeder equation. We calculate the optical depth for dark halos with NFW profile, for the abundance the Press-Schechter formalism is used. We focus our analysis on the cross section for multiple images (three). Different cosmologies are compared.
Latex, 4 pages, 3 figures. To appear in the Proceedings of 30th Spanish Relativity Meeting (ERE 2007): Relativistic Astrophysics and Cosmology, Puerto de la Cruz, Tenerife, Spain, Sep 10-14 2007
Latex, 4 pages, 3 figures. To appear in the Proceedings of 30th Spanish Relativity Meeting (ERE 2007): Relativistic Astrophysics and Cosmology, Puerto de la Cruz, Tenerife, Spain, Sep 10-14 2007