On Multiple Einstein Rings release_ozna7jn4org2dp7c5tlz4dipbu

by M.C. Werner

Released as a article .

2008  

Abstract

A number of recent surveys for gravitational lenses have found examples of double Einstein rings. Here, we investigate analytically the occurrence of multiple Einstein rings. We prove, under very general assumptions, that at most one Einstein ring can arise from a mass distribution in a single plane lensing a single background source. Two or more Einstein rings can therefore only occur in multi-plane lensing. Surprisingly, we show that it is possible for a single source to produce more than one Einstein ring. If two point masses (or two isothermal spheres) in different planes are aligned with observer and source on the optical axis, we show that there are up to three Einstein rings. We also discuss the image morphologies for these two models if axisymmetry is broken, and give the first instances of magnification invariants in the case of two lens planes.
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Type  article
Stage   accepted
Date   2008-07-30
Version   v2
Language   en ?
arXiv  0804.3744v2
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