Can a light ray distinguish the charge of a black hole in nonlinear electrodynamics?

Bobir Toshmatov, Bobomurat Ahmedov, and Daniele Malafarina
Phys. Rev. D 103, 024026 – Published 12 January 2021

Abstract

It is a well-known fact that light rays do not follow the null geodesics of the space-time in nonlinear electrodynamics; instead, they follow the null geodesics of the so-called effective space-time. Taking this into account, in this paper, we aim to discuss the possibility of distinguishing the type of charge with which the black hole is endowed, via the motion of light rays. The results show that, for any black hole being a charged solution of the field equations of general relativity coupled to the nonlinear electrodynamics, one cannot distinguish the two types of charge (magnetic or electric) through the motion of light rays around it.

  • Received 2 November 2020
  • Accepted 4 January 2021

DOI:https://doi.org/10.1103/PhysRevD.103.024026

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Bobir Toshmatov1,2,3,*, Bobomurat Ahmedov1,3,†, and Daniele Malafarina4,‡

  • 1Ulugh Beg Astronomical Institute, Astronomy 33, Tashkent 100052, Uzbekistan
  • 2Webster University in Tashkent, Alisher Navoiy 13, Tashkent 100011, Uzbekistan
  • 3Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy 39, Tashkent 100000, Uzbekistan
  • 4Department of Physics, Nazarbayev University, 53 Kabanbay Batyr, 010000 Nur-Sultan, Kazakhstan

  • *toshmatov@astrin.uz
  • ahmedov@astrin.uz
  • daniele.malafarina@nu.edu.kz

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Issue

Vol. 103, Iss. 2 — 15 January 2021

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