Dirac equation in exotic spacetimes

8 pags., 3 figs.We find solutions of the Dirac equation in curved spacetime. In particular, we consider 1+1 dimensional sections of several exotic metrics: the Alcubierre metric, which describes a scenario that allows faster-than-light velocity; the Gödel metric, which describes a universe containing closed timelike curves; and the Kerr metric, which corresponds to the metric of a rotating pointlike source, for instance a rotating black hole. Moreover, we also show that the techniques that we use in these cases can be extended to nonstatic metrics.C. S. has received financial support through the Junior Leader Postdoctoral Fellowship Programme from “la Caixa” Banking Foundation and Fundación General CSIC (ComFuturo Programme)