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

2021/01/12 by Bobir Toshmatov, Bobomurat Ahmedov, Daniele Malafarina
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Classical electromagnetism #Classical mechanics #Electric field #Electromagnetic field #General relativity #Geodesic #Geodesics in general relativity #Mathematical analysis #Mathematics #Nonlinear system #Null (SQL) #Physics #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Schwarzschild radius #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.103.024026

published as Phys. Rev. D 103, 024026 (2021) · 6 pages

openalex publication_date 2021/01/12 · arxiv created 2021/01/14 · arxiv updated 2021/01/15 · openalex created_date 2021/01/18 · openalex updated_date 2026/08/05

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.

Citations