Abstract
Magnetized particle motion around black holes in conformal gravity immersed in asymptotically uniform magnetic field has been studied. We have also analyzed the behavior of magnetic fields near the horizon of the black hole in conformal gravity and shown that with the increase of conformal parameters L and N the value of angular component of magnetic field at the stellar surface decreases. The maximum value of the effective potential corresponding to circular motion of the magnetized particle increases with the increase of conformal parameters. It is shown that in all cases of neutral, charged and magnetized particle collisions in the black hole environment the center-of-mass energy decreases with the increase of conformal parameters L and N. In the case of the magnetized and negatively charged particle collisions, the innermost collision point with the maximum center-of-mass energy comes closer to the central object due to the effects of the parameters of the conformal gravity. We have applied the results to the real astrophysical scenario when a pulsar treated as a magnetized particle is orbiting the super massive black hole (SMBH) Sgr A* in the center of our galaxy in order to obtain the estimation of magnetized compact object’s orbital parameter. The possible detection of pulsar in Sgr A* close environment can provide constraints on black hole parameters. Here we have shown that there is degeneracy between spin of SMBH and ambient magnetic field and consequently the interaction of magnetic field ∼ 10 2 Gauss with magnetic moment of magnetized neutron star can in principle mimic spin of Kerr black holes up to 0.6 .
Highlights
One of the fundamental problems of general theory of relativity is the presence of singularity in almost all known exact analytical solutions of the gravitational field equations
We plan to study the electromagnetic field structure and magnetized particle motion around black holes in conformal gravity immersed in external magnetic field
This work is devoted to study the magnetized particle motion and acceleration processes around non-rotating compact object in conformal gravity in the presence of magnetic field and organized as follows: In Section 2 we study the electromagnetic field configuration around black holes immersed in external asymptotically uniform magnetic field in the framework of the conformal gravity
Summary
One of the fundamental problems of general theory of relativity is the presence of singularity in almost all known exact analytical solutions of the gravitational field equations. We plan to study the electromagnetic field structure and magnetized particle motion around black holes in conformal gravity immersed in external magnetic field. Magnetized particle motion around non-Schwarzschild black holes immersed in an external uniform magnetic field has been recently studied in [44]. This work is devoted to study the magnetized particle motion and acceleration processes around non-rotating compact object in conformal gravity in the presence of magnetic field and organized as follows: In Section 2 we study the electromagnetic field configuration around black holes immersed in external asymptotically uniform magnetic field in the framework of the conformal gravity. Latin indices run from 1 to 3 and Greek ones from 0 to 3
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