@MISC{Oguri09whatis, author = {Masamune Oguri and Roger D. Bl}, title = {What is the largest Einstein radius in the universe?}, year = {2009} }
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Abstract
The Einstein radius plays a central role in lens studies as it characterises the strength of gravitational lensing. In particular, the distribution of Einstein radii near the upper cutoff should probe the probability distribution of the largest mass concentrations in the universe. Adopting a triaxial halo model, we compute expected distributions of large Einstein radii. To assess the cosmic variance, we generate a number of Monte-Carlo realisations of all-sky catalogues of massive clusters. We find that the expected largest Einstein radius in the universe is sensitive to parameters characterising the cosmological model, especially σ8: for a source redshift of unity, they are 42 +9