CORRELATION OF THE NUMBER OF IMAGES OF AN N-POINT GRAVITATIONAL LENS AND THE NUMBER OF SOLUTIONS OF ITS SYSTEM

Автор(и)

  • A. T. Kotvytskiy Karazin Kharkov National University, Ukrainian State University of Railway Transport, Ukraine
  • S. D. Bronza Ukrainian State University of Railway Transport, Ukraine
  • V. Yu. Shablenko Karazin Kharkov National University, Ukraine

DOI:

https://doi.org/10.18524/1810-4215.2017.30.114229

Ключові слова:

Lens, gravitational lenses, images, solutions, Algebraic geometry, resultant, Bezout theorem

Анотація

In this paper, we study the correlation between the number of solutions of a system of lens equations and the number of source images that a gravitational lens has. We defined the concept of an image in a gravitational lens. To find the set of solutions of a system of lens equations, we applied methods of algebraic geometry.

Посилання

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Опубліковано

2017-11-07

Номер

Розділ

Космологія, гравітація, фізика астрочастинок, фізика високих енергій