  We analyse a relativistic scalar particle with a position-dependent mass in a
spacetime with a space-like dislocation by showing that relativistic bound
states solutions can be achieved. Further, we consider the presence of the
Coulomb potential and analyse the relativistic position-dependent mass system
subject to the Coulomb potential in the spacetime with a space-like
dislocation. We also show that a new set of relativistic bound states solutions
can be obtained, where there also exists the influence of torsion of the
relativistic energy levels. Finally, we investigate an analogue of the
Aharonov-Bohm effect for bound states in this position-dependent mass in a
spacetime with a space-like dislocation.
