Beyond the Thin Lens Approximation
天体物理学
2007-05-23 v1 广义相对论与量子宇宙学
摘要
We obtain analytic formulae for the null geodesics of Friedmann-Lema\^{\i}tre-Robertson-Walker spacetimes with scalar perturbations in the longitudinal gauge. We use these to provide a rigorous derivation of the cosmological lens equation. We obtain an expression for the magnification of a bundle of light rays in these spacetimes without restriction to static or thin lens scenarios. We show how the usual magnification matrix naturally emerges in the appropriate limits.
引用
@article{arxiv.astro-ph/9405021,
title = {Beyond the Thin Lens Approximation},
author = {Ted Pyne and Mark Birkinshaw},
journal= {arXiv preprint arXiv:astro-ph/9405021},
year = {2007}
}
备注
Submitted to ApJl, 9 pages plus one figure (plain TeX)