Particle dynamics in rotating charged Bumblebee black holes: An analytical correspondence with Kerr-Newman

Abstract

In this paper, we establish an analytical correspondence between the equatorial dynamics of spinless and spinning test particles in a slowly rotating charged Einstein--Bumblebee black hole spacetime and those in an effective Kerr--Newman spacetime. For spinning particles, the correspondence is established within the Mathisson--Papapetrou--Dixon framework under appropriate parameter matching. We show that corresponding circular orbits have identical radii and coordinate angular velocities, while their radial dynamics and local instability rates exhibit a Lorentz-violation-dependent scaling. Nevertheless, the correspondence does not imply complete dynamical equivalence, as orbital trajectories and radial perturbation growth over an azimuthal period generally differ. These results delineate the scope and limitations of the effective Kerr--Newman correspondence by distinguishing the dynamical properties preserved under parameter matching from those modified by the Lorentz-violating radial deformation.