https://doi.org/10.1140/epjc/s10052-020-08623-2
Regular Article – Theoretical Physics
Charged particle motion around non-singular black holes in conformal gravity in the presence of external magnetic field
1
Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai, 200438, People’s Republic of China
2
Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent, 100052, Uzbekistan
3
Institute of Nuclear Physics, Tashkent, 100214, Uzbekistan
4
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
5
Shanghai Astronomical Observatory, 80 Nandan Road, Shanghai, 200030, People’s Republic of China
6
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy, 39, Tashkent, 100000, Uzbekistan
* e-mail: bambi@fudan.edu.cn
Received:
10
May
2020
Accepted:
30
October
2020
Published online:
20
November
2020
We consider electromagnetic fields and charged particle dynamics around non-singular black holes in conformal gravity immersed in an external, asymptotically uniform magnetic field. First, we obtain analytic solutions of the electromagnetic field equation around rotating non-singular black holes in conformal gravity. We show that the radial components of the electric and magnetic fields increase with the increase of the parameters L and N of the black hole solution. Second, we study the dynamics of charged particles. We show that the increase of the values of the parameters L and N and of magnetic field causes a decrease in the radius of the innermost stable circular orbits (ISCO) and the magnetic coupling parameter can mimic the effect of conformal gravity giving the same ISCO radius up to $$\omega _{\mathrm{B}}\le 0.07$$ when $$N=3$$.
© The Author(s), 2020
