Consequences of cluster evolution for the statistics of giant luminous arcs

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Richstone et al. (1992) have recently discussed cluster- formation timescales in FLRW universes. They conclude that the epoch of cluster formation is shifted towards small redshifts for {OMEGA}_0_ approaches 1, and together with indications that clusters are "young" entities, they derive a lower limit for{OMEGA}_0_,{OMEGA}_0_ >~ 0.5. If the cluster population is dominated by low-redshift clusters, this should have significant consequences for its lensing capabilities, because lenses close to the observer are inefficient. On the basis of a theoretically derived cluster redshift distribution in an Einstein- deSitter universe, I investigate the optical depth for the formation of large arcs. I find that, on the account of cluster evolution, the optical depth is reduced by a factor of ~5 for moderate- and high-redshift sources relative to the case of non-evolving clusters, and that the mean redshift and the rms width of the redshift distribution of large-arc clusters is significantly lowered.

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