Beyond the Thin Lens Approximation
天体物理学
2009-10-28 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. From these we provide a rigorous derivation of the cosmological lens equation, and obtain an expression for the magnification of a bundle of light rays 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/9504060,
title = {Beyond the Thin Lens Approximation},
author = {Ted Pyne and Mark Birkinshaw},
journal= {arXiv preprint arXiv:astro-ph/9504060},
year = {2009}
}
备注
37 pages plus 3 appended figures, plain TeX. Submitted to ApJ