Beyond the Thin Lens Approximation

Preprint

19 April 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/9504060

Abstract

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.

Keywords

APPROXIMATION WE OBTAIN
LENS APPROXIMATION
APPROPRIATE LIMITS
ANALYTIC FORMULAE
OBTAIN ANALYTIC
NULL GEODESICS
MAGNIFICATION
THIN LENS

All Related Versions

Version 1, 1995-04-19, ArXiv
Version 1, 1994-05-10, ArXiv (Unconfirmed version)
Published version: The Astrophysical Journal, 458, 46.

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