Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes

Abstract

In the present paper, we have investigated the motion of charged particles together with magnetic dipoles to determine how well the spacetime deviation parameter $\epsilon$ and external uniform magnetic field can mimic the spin of a rotating Kerr black hole. Investigation of charged particle motion has shown that the deviation parameter $\epsilon$ in the absence of external magnetic fields can mimic the rotation parameter of Kerr spacetime up to $a/M\approx 0.5$. The combination of external magnetic field and deviation parameter can do even a better job mimicking the rotation parameter up to $a/M\simeq 0.93$, which corresponds to the rapidly rotating case. Study of the dynamics of magnetic dipoles around quasi-Schwarzschild black holes in the external magnetic field has shown that there are degeneracy values of ISCO radius of test particles at ${\epsilon }_{cr}>\epsilon \ge 0.35$ which may lead to two different values of the innermost stable circular orbit (ISCO) radius. When the deviation parameter is in the range of $\epsilon \in (-1,1)$, it can mimic the spin of a rotating Kerr black hole in the range $a/M\in (0.0537,0.3952)$ for magnetic dipoles with values of magnetic coupling parameter $\beta \in [-0.25,0.25]$ in corotating orbits.

14 pages, 11 figures. Accepted for publication in EPJC

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