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Gravitational lensing by Elliptical Galaxies, and the Schwarz Function | | C. D. Fassnacht
; C. R. Keeton
; D. Khavinson
; | | Date: |
20 Aug 2007 | | Abstract: | We discuss gravitational lensing by elliptical galaxies with some particular
mass distributions. Using simple techniques from the theory of quadrature
domains and the Schwarz function (cf. cite{Sh}) we show that when the mass
density is constant on confocal ellipses, the total number of lensed images of
a point source cannot exceed 5 (4 bright images and 1 dim image). Also, using
the Dive--Nikliborc converse of the celebrated Newton’s theorem concerning the
potentials of ellipsoids, we show that ’’Einstein rings’’ must always be either
circles (in the absence of a tidal shear), or ellipses. | | Source: | arXiv, 0708.2684 | | Services: | Forum | Review | PDF | Favorites | |
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