Dirac equation in exotic spacetimes

Abstract

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.