Statistics of gravitational lenses in the clumpy Universe

Details Statistics of gravitational lenses in the clumpy Universe Statistics of gravitational lenses in the clumpy Universe

2005-01-24

arxiv.org/abs/astro-ph/0501509v1

Mon.Not.Roy.Astron.Soc. 357 (2005) 773-782

Astronomy and Astrophysics

Astrophysics

11 pages, 9 figures. MNRAS, in press

Scientific paper

10.1111/j.1365-2966.2005.08702.x

We evaluate the effect of small scale inhomogeneities on large scale observations within the statistics of gravitationally lensed quasars. At this aim, we consider a cosmological model whose large scale properties (dynamics, matter distribution) are the same as in Friedmann-Lemaitre models, but whose matter distribution is locally inhomogeneous. We use the well known Dyer-Roder distances to allow a simple analytical expression of the optical depth, and pay particular attention on the different role played by the different notions of distances (filled beam angular diameter distance and Dyer-Roder distances) when calculating this quantity, following the prescription from Ehlers & Schneider for a coherent formalism. We find that the expected number of gravitationally lensed quasars is a decreasing function of the clumpiness parameter.

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