The amplitude of the initial density fluctuation spectrum from lensing statistics
Abstract
A complete catalogue of galaxy cluster models can be used to constrain cosmological parameters like σ8, 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 σ8 for the standard Cold Dark Matter scenario within an Einstein-de Sitter universe.
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