Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function

被引：11

作者：

Fassnacht, C. D. ^{[1
]}

Keeton, C. R. ^{[2
]}

Khavinson, D. ^{[3
]}

机构：

[1] Univ Calif Davis, Dept Phys, Davis, CA 95616 USA

[2] Rutgers State Univ, Dept Phys Astronomy, Piscataway, NJ 08854 USA

[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

ANALYSIS AND MATHEMATICAL PHYSICS-BOOK | 2009年

基金：

美国国家科学基金会;

关键词：

HARMONIC POLYNOMIALS; QUINTUPLE QUASAR; NUMBER; ZEROS;

D O I：

10.1007/978-3-7643-9906-1_6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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-Niklibore 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.

引用

页码：115 / +

页数：3

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