Gravitational lensing by Elliptical Galaxies, and the Schwarz Function

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dc.creatorFassnacht, C. D.
dc.creatorKeeton, C. R.
dc.creatorKhavinson, D.
dc.date2007-08-20
dc.date.accessioned2026-07-07T08:24:25Z
dc.date.available2026-07-07T08:24:25Z
dc.descriptionWe 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.
dc.description16 pages, 7 figures based on a pleanry talk at the international conference on analysis and mathematical physics "New Trends in Complex and Harmonic Analysis", May 7 - 12, 2007, Voss, Norway
dc.identifierhttps://arxiv.org/abs/0708.2684
dc.identifierhttp://arxiv.org/abs/0708.2684
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136331
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectComplex Variables
dc.subject85A99, 31A05, 30E99
dc.titleGravitational lensing by Elliptical Galaxies, and the Schwarz Function
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