The amplitude of the initial density fluctuation spectrum from lensing statistics

Details The amplitude of the initial density fluctuation spectrum from lensing statistics The amplitude of the initial density fluctuation spectrum from lensing statistics

1996-01-22

arxiv.org/abs/astro-ph/9601113v1

Astronomy and Astrophysics

Astrophysics

6 pages including 3 figures, gzip'ed and uuencoded Postscript, To appear in proceedings "Mapping, Measuring and Modelling the

Scientific paper

A complete catalogue of galaxy cluster models can be used to constrain cosmological parameters like $\sigma_8$, the amplitude of the initial density fluctuation spectrum. We focus here on two strong lensing statistics for clusters of galaxies: the fraction of rich Abell clusters that are critical to lensing, and the abundance of arcs in such clusters, especially the X-ray luminous ones. The specific aim of this paper is to constrain $\sigma_8$ for the standard Cold Dark Matter scenario within an Einstein-de Sitter universe.

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