Substructure and the Cusp and Fold Relations

Details Substructure and the Cusp and Fold Relations Substructure and the Cusp and Fold Relations

2006-05-15

arxiv.org/abs/astro-ph/0605347v1

Mon.Not.Roy.Astron.Soc.372:1692-1698,2006

Astronomy and Astrophysics

Astrophysics

7 pages, 5 figures, submitted to MNRAS

Scientific paper

10.1111/j.1365-2966.2006.10991.x

Gravitational lensing of a background source by a foreground galaxy lens occasionally produces four images of the source. The cusp and the fold relations impose conditions on the ratios of magnifications of these four-image lenses. In this theoretical investigation, we explore the sensitivity of these relations to the presence of substructure in the lens. Starting with a smooth lens potential, we add varying amounts of substructure, while keeping the source position fixed, and find that the fold relation is a more robust indicator of substructure than the cusp relation for the images. This robustness is independent of the detailed spatial distribution of the substructure, as well as of the ellipticity of the lensing potential and the presence of external shear.

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