Abstract

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.

Highlights

  • General Relativity has a good success in predicting and describing a number of observations and experiments about gravity

  • We study the dynamics of charged particles around black holes in conformal gravity in the presence of magnetic fields

  • In this work we have considered dynamics of charged particles and electromagnetic fields in the vicinity of rotating black holes in conformal gravity immersed in an external, asymptotically uniform magnetic field

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Summary

Introduction

General Relativity has a good success in predicting and describing a number of observations and experiments about gravity. A number of works have been devoted to study the electromagnetic field and charged particle motion around compact objects in external magnetic fields [28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53].

Electromagnetic field around a singularity free Black hole
Stable circular orbits
Charged particles trajectories
Center-of-mass energy of charged particles collisions
Conclusion
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