Double clusters and gravitational lenses

Mathematics – Probability

Scientific paper

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Galactic Clusters, Gravitational Lenses, Quasars, Image Analysis, Red Shift, Spatial Distribution

Scientific paper

Clusters of galaxies can act as gravitational lenses which produce double quasars with splittings as large as 1 - 2 arc min. The potential well of the cluster must be deep enough on the scale of the image to focus the light, which means that the velocity dispersion within the cluster must be high and the core radius small. These requirements are reduced if there are two (or more) clusters along the line of sight. Here the authors predict the number of double quasar images in the sky that are produced by double clusters. The clustering of clusters and the occurrence of binary clusters enhances the probability of double clusters well above that expected from a purely random spatial distribution. Several double images are expected. Double clusters should be considered for apparent double quasar images such as Hazard 1146+111 B,C.

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