Dynamics of magnetized particles around Einstein-Æther black hole with uniform magnetic field

This work is devoted to study the effects of Einstein-Æther gravity on dynamics magnetized particles orbiting a static, spherically symmetric and uncharged black hole immersed in an external asymptotically uniform magnetic field both comoving proper observers frames. The analysis carried out by varying free parameters c13 c14 theory noticing their impacts particle trajectories, radii innermost stable circular orbits (ISCOs), amount center-of-mass energy produced as result collision. strength location significantly affected above parameters. We have also made detailed comparisons between spin rotating Kerr holes ISCO followed noticed that depict similar behavior for suitable values c13, c14, coupling which provide exactly same ISCO. Finally, we analyzed cases when static Æther can be described Schwarzschild modified (MOG) with corresponding holes.