Gravitational lens equation. Critical solutions and magnification near folds and cusps
Cosmology and Nongalactic Astrophysics
2013-01-01 v1 Astrophysics of Galaxies
Abstract
We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the closeness of a point source to the caustic. Second-order corrections to known approximate solutions and magnification are found in case of a general fold point. The first-order corrections near a general cusp are found as well. Key words: gravitational lensing, methods: analytical
Keywords
Cite
@article{arxiv.1212.6565,
title = {Gravitational lens equation. Critical solutions and magnification near folds and cusps},
author = {A. N. Alexandrov and S. M. Koval and V. I. Zhdanov},
journal= {arXiv preprint arXiv:1212.6565},
year = {2013}
}