Image distortion in non perturbative gravitational lensing

Details Image distortion in non perturbative gravitational lensing Image distortion in non perturbative gravitational lensing

2000-11-29

arxiv.org/abs/gr-qc/0011107v1

Phys.Rev. D63 (2001) 023006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 6 figures, to appear in Phys. Rev. D (January 2001)

Scientific paper

10.1103/PhysRevD.63.023006

We introduce the idea of {\it shape parameters} to describe the shape of the pencil of rays connecting an observer with a source lying on his past lightcone. On the basis of these shape parameters, we discuss a setting of image distortion in a generic (exact) spacetime, in the form of three {\it distortion parameters}. The fundamental tool in our discussion is the use of geodesic deviation fields along a null geodesic to study how source shapes are propagated and distorted on the path to an observer. We illustrate this non-perturbative treatment of image distortion in the case of lensing by a Schwarzschild black hole. We conclude by showing that there is a non-perturbative generalization of the use of Fermat's principle in lensing in the thin-lens approximation.

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