Beyond the Thin Lens Approximation

Details Beyond the Thin Lens Approximation Beyond the Thin Lens Approximation

1994-05-10

arxiv.org/abs/astro-ph/9405021v1

Astronomy and Astrophysics

Astrophysics

Submitted to ApJl, 9 pages plus one figure (plain TeX)

Scientific paper

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.

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