Properties of the innermost stable circular orbit of a spinning particle moving in a rotating Maxwell-dilaton black hole background

In this paper, we investigate the innermost stable circular orbit (ISCO) of a spinning test particle moving in the rotating Maxwell-dilaton black hole spacetime. By using the Mathisson-Papapetrou-Dixon equations along with the Tulczyjew spin-supplementary condition, we find the equations of motion in the equatorial plane, and from the radial equation, we obtained the effective potential for the description of the particle's motion. The obtained trajectories show that the ISCO radii for spinning particles moving in rotating charged backgrounds are always smaller than those obtained in the corresponding Kerr-Newman spacetimes. The increasing in the particle's spin produces a decrease in the ISCO radius in all the studied cases, with a maximum value for the spin and a corresponding minimum ISCO radius, obtained by imposing a condition that guarantees the timelike nature of the particle's worldline.

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