Gravitational lens under perturbations: Symmetry of perturbing potentials with invariant caustics

Preprint

7 January 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/0410388

Abstract

When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local azimuthal behaviour of the affecting perturbations. This provides a common mathematical groundwork for understanding problems such as the close-wide (d <-> 1/d) separation degeneracy of binary lens microlensing lightcurves and the shear-ellipticity degeneracy of quadruple image lens modelling.

Keywords

PERTURBING POTENTIALS
INVARIANT CAUSTICS
GRAVITATIONAL LENS
PERTURBATIONS
DEGENERACY
AZIMUTHAL
LENSING

All Related Versions

Version 1, 2004-10-15, ArXiv
Version 2, 2005-01-07, ArXiv
Published version: Monthly Notices of the Royal Astronomical Society, 356 (4), 1409.

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