A statistically complete survey for arc-like features in images of distant rich clusters of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Arcs, Galactic Clusters, Gravitational Lenses, Sky Surveys (Astronomy), Astronomical Catalogs, Astronomical Models, Charge Coupled Devices, Red Shift

Scientific paper

Using data from an earlier search for supernovae in distant clusters, a homogeneous set of V images for 19 rich clusters with mean redshift of 0.32 is constructed. By considering the images above a fixed surface brightness limit, the data for extended arclike features which might arise from gravitational lensing of background sources are analyzed. A list of 20 candidate arcs is presented. The usefulness of such a catalog for deriving the background source redshift distribution, N(z) is examined. While the number and shape distribution of arc candidates is consistent with the lensing hypothesis, cluster velocity dispersions of very high precision would be needed to provide useful constraints on the fraction of high-redshift galaxies to faint limits. It is shown how, in principle, a likelihood ratio test based on the radial distribution of ars in a single well-studied cluster could determine whether a significant fraction of the faint galaxy population is at high redshift. This test also provides a means of determining accurate cluster velocity dispersions at any redshift.

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