https://doi.org/10.1140/epjc/s10052-019-7286-2
Regular Article - Theoretical Physics
Particle motion around generic black holes coupled to non-linear electrodynamics
1
Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo náměstí 13, CZ, 74601, Opava, Czech Republic
2
Amity University in Tashkent, 70 Labzak street, 100028, Tashkent, Uzbekistan
3
Ulugh Beg Astronomical Institute, Astronomicheskaya 33, 100052, Tashkent, Uzbekistan
4
I. Physikalisches Institut der Universitt zu Kln, Zlpicher Strasse 77, 50937, Cologne, Germany
5
National University of Uzbekistan, 100174, Tashkent, Uzbekistan
* e-mail: jaroslav.vrba@fpf.slu.cz
Received:
17
May
2019
Accepted:
8
September
2019
Published online:
20
September
2019
We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of horizons in dependence on the charge parameter, demonstrating separation of the black hole and no-horizon solutions, and possibility of existence of solutions containing three horizons. We show that null, weak and strong energy conditions are violated when the outer horizon is approaching the center. We study effective potentials for photons and massive test particles and location of circular photon orbits (CPO) and innermost stable circular orbit (ISCO). We show that the unstable photon orbit can become stable, leading to the possibility of photon capture which affects on silhouette of the central object. The position of ISCO approaches the horizon with increasing charge parameter q and the energy at ISCO decreases with increasing charge parameter. We investigate this phenomenon and summarize for a variety of the generic spacetime parameters the upper estimate on the spin parameter of the Kerr black which can be mimicked by the generic charged black hole solutions.
© The Author(s), 2019