COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION

COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION

We derive approximate formulas for the coordinates and magnification of critical images of a point source in a vicinity of a cusp caustic arising in the gravitational lens mapping. In the lowest (zero-order) approximation, these formulas were obtained in the classical work by Schneider&Weiss (19...

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Main Authors: A. N. Alexandrov, V. I. Zhdanov, S. M. Koval
Format: Article
Language:English
Published: Odessa I. I. Mechnykov National University 2013-11-01
Series:Odessa Astronomical Publications
Online Access:http://oap.onu.edu.ua/article/view/82486
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spelling doaj-362e53fd96df486583aafec655dc38042020-11-25T02:32:48ZengOdessa I. I. Mechnykov National UniversityOdessa Astronomical Publications1810-42152013-11-0126216917110.18524/1810-4215.2013.26.8248682486COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATIONA. N. Alexandrov0V. I. ZhdanovS. M. KovalAstronomical Observatory, Taras Shevchenko National University of KyivWe derive approximate formulas for the coordinates and magnification of critical images of a point source in a vicinity of a cusp caustic arising in the gravitational lens mapping. In the lowest (zero-order) approximation, these formulas were obtained in the classical work by Schneider&Weiss (1992) and then studied by a number of authors; first-order corrections in powers of the proximity parameter were treated by Congdon, Keeton and Nordgren. We have shown that the first-order corrections are solely due to the asymmetry of the cusp. We found expressions for the second-order corrections in the case of general lens potential and for an arbitrary position of the source near a symmetric cusp. Applications to a lensing galaxy model represented by a singular isothermal sphere with an external shear y are studied and the role of the second-order corrections is demonstrated.http://oap.onu.edu.ua/article/view/82486
collection DOAJ
language English
format Article
sources DOAJ
author A. N. Alexandrov
V. I. Zhdanov
S. M. Koval
spellingShingle A. N. Alexandrov
V. I. Zhdanov
S. M. Koval
COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
Odessa Astronomical Publications
author_facet A. N. Alexandrov
V. I. Zhdanov
S. M. Koval
author_sort A. N. Alexandrov
title COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
title_short COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
title_full COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
title_fullStr COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
title_full_unstemmed COSMOLOGY, COSMOMICROPHYSICS AND GRAVITATION
title_sort cosmology, cosmomicrophysics and gravitation
publisher Odessa I. I. Mechnykov National University
series Odessa Astronomical Publications
issn 1810-4215
publishDate 2013-11-01
description We derive approximate formulas for the coordinates and magnification of critical images of a point source in a vicinity of a cusp caustic arising in the gravitational lens mapping. In the lowest (zero-order) approximation, these formulas were obtained in the classical work by Schneider&Weiss (1992) and then studied by a number of authors; first-order corrections in powers of the proximity parameter were treated by Congdon, Keeton and Nordgren. We have shown that the first-order corrections are solely due to the asymmetry of the cusp. We found expressions for the second-order corrections in the case of general lens potential and for an arbitrary position of the source near a symmetric cusp. Applications to a lensing galaxy model represented by a singular isothermal sphere with an external shear y are studied and the role of the second-order corrections is demonstrated.
url http://oap.onu.edu.ua/article/view/82486
work_keys_str_mv AT analexandrov cosmologycosmomicrophysicsandgravitation
AT vizhdanov cosmologycosmomicrophysicsandgravitation
AT smkoval cosmologycosmomicrophysicsandgravitation
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