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arXiv · 1811.00385

Dirac equation in exotic spacetimes

Javier Faba García·Carlos Sabín
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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 (FTL) velocity; the G\"odel metric, that describes a universe containing closed timelike curves (CTC); and the Kerr metric, which corresponds to the spacetime of a rotating black hole. Moreover, we also show that the techniques that we use in these cases can be extended to nonstatic metrics.

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Javier Faba García, Carlos Sabín. 2018-10-30. Dirac equation in exotic spacetimes. https://doi.org/10.1103/physrevd.99.025008

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