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          Institute: MPI für Astrophysik     Collection: Cosmology     Display Documents



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ID: 10449.0, MPI für Astrophysik / Cosmology
Images for an isothermal ellipsoidal gravitational lens from a single real algebraic equation
Authors:Asada, H.; Hamana, T.; Kasai, M.
Language:English
Date of Publication (YYYY-MM-DD):2003-01
Title of Journal:Astronomy & Astrophysics
Journal Abbrev.:Astron. Astrophys.
Volume:397
Issue / Number:3
Start Page:825
End Page:829
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We present explicit expressions for the lens equation for a cored isothermal ellipsoidal gravitational lens as a single real sixth-order algebraic equation in two approaches; 2- dimensional Cartesian coordinates and 3-dimensional polar ones. We find a condition for physical solutions which correspond to at most five images. For a singular isothermal ellipsoid, the sixth-order equation is reduced to fourth-order one for which analytic solutions are well-known. Furthermore, we derive analytic criteria for determining the number of images for the singular lens, which give us simple expressions for the caustics and critical curves. The present formulation offers a useful way for studying galaxy lenses frequently modeled as isothermal ellipsoids.
Free Keywords:gravitational lensing; galaxies : general; cosmology : theory
External Publication Status:published
Document Type:Article
Communicated by:N. N.
Affiliations:MPI für Astrophysik
External Affiliations:Hirosaki Univ, Fac Sci & Technol, Hirosaki, Aomori 0368561,; Japan; Hirosaki Univ, Fac Sci & Technol, Hirosaki, Aomori 0368561, Japan; Max Planck Inst Astrophys, D-85741 Garching, Germany; Natl Astron Observ, Mitaka, Tokyo 1818588, Japan
Identifiers:ISI:000180249800010
ISSN:0004-6361
URL:http://www.edpsciences.org/articles/aa/abs/2003/03...
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