  In this manuscript, we study the relativistic quantum mechanics of an
electron in external fields in the spinning cosmic string spacetime. We obtain
the Dirac equation, write the first and second-order equations from it, and
then we solve these equations for bound states. We show that there are bound
states solutions for the first-order equation Dirac. For the second-order
equation, we show that its wave functions are given in terms of the Kummer
functions and we determine the energies of the particle. We examine the
behavior of the energies as a function of the physical parameters of the model,
such as rotation, curvature, magnetic field, Aharonov-Bohm flux, and quantum
numbers. Our study reveals that both curvature and rotation influence more
intensely when these parameters have values smaller than 0.3. We also find
that, depending on the values of these parameters, there are energy
nonpermissible levels.
