Motion of charged and spinning particles influenced by dark matter field surrounding a charged dyonic black hole
Annotatsiya
We investigate the motion of massive charged and spinning test particles around a charged dyonic black hole surrounded by perfect fluid scalar dark matter field. We obtain the equations of motion and find the expressions for the four-velocity for the case of a charged particle and four-momentum components for the case of a spinning particle. The trajectories for various values of electric ${Q}_{e}$ and magnetic ${Q}_{m}$ charges are investigated under the influence of dark matter field $\ensuremath{\lambda}$. We study in detail the properties of innermost stable circular orbits (ISCOs) in the equatorial plane. We show that, in addition to the particle's spin, the dark matter field parameter $\ensuremath{\lambda}$ and black hole charges (${Q}_{m}$ and ${Q}_{e}$) have significant influence on the ISCOs of spinning particles. We find that if the spin is parallel to the total angular momentum $J$ (i.e., $\mathcal{S}>0$), the ISCO parameters (i.e., ${r}_{\mathrm{ISCO}},{L}_{\mathrm{ISCO}}$, and ${E}_{\mathrm{ISCO}}$) of a spinning particle are smaller than those of a nonspinning particle, whereas if the spin is antiparallel to total angular momentum $J$ (i.e., $\mathcal{S}<0$), the value of the ISCO parameters is greater than that of the nonspinning particle. We also show that for the corresponding values of spin parameter S, the behavior of Keplerian angular frequency $\mathrm{\ensuremath{\Omega}}$ at the ISCO is opposite that of ${r}_{\mathrm{ISCO}},{L}_{\mathrm{ISCO}}$, and ${E}_{\mathrm{ISCO}}$. As an astrophysical application, the study of ISCOs may play a significant role as ISCOs can be used to set the inner edge of the accretion disk around a black hole as well as the initial condition of the binary black hole mergers.