Gravitational lensing by elliptical galaxies, and the Schwarz function

C. D. Fassnacht, Charles Keeton, D. Khavinson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Scopus citations

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. [18]) 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.

Original languageEnglish (US)
Title of host publicationAnalysis and Mathematical Physics
EditorsBjörn Gustafsson, Alexander Vasilev
PublisherSpringer International Publishing
Pages115-129
Number of pages15
ISBN (Print)9783764399054
DOIs
StatePublished - 2009
EventInternational Conference on New trends in harmonic and complex analysis, 2007 - Trondheim, Norway
Duration: May 7 2007May 12 2007

Publication series

NameTrends in Mathematics
Volume46
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Other

OtherInternational Conference on New trends in harmonic and complex analysis, 2007
CountryNorway
CityTrondheim
Period5/7/075/12/07

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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