Formation of arcs by nearly circular gravitational lenses

Physics – Optics

Scientific paper

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Astronomy, Caustics (Optics), Einstein Equations, Geometrical Optics, Gravitational Lenses, Galactic Clusters, Lenses, Perturbation Theory, Space-Time Functions

Scientific paper

An extended source located near the axis of a nearly circular, sufficiently nonlinear lens can produce extended arclike images. Examples of these may have been found near three distant clusters of galaxies which seem to be acting as gravitational lenses. A simple geometrical method for locating images of objects using the Einstein ring and the corresponding caustic is proposed. An approximate theory of lenses for which deviations from circularity are small perturbations is given.

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