Gravitational Lensing Statistics by Galaxy Clusters with Smoothness Parameter Depending on z

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Latex, 4 pages, 3 figures. To appear in the Proceedings of 30th Spanish Relativity Meeting (ERE 2007): Relativistic Astrophysi

Scientific paper

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.

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