Dirac equation in Lemaître-Tolman-Bondi models (Q5931054)

The author investigates the Dirac equation for a class of Lemaître-Tolman-Bondi cosmological models. The angular equation separates directly as was previously known, and it is shown that the temporal and spatial dependence decouples with a suitable separation procedure. The separated time equation is integrated via series, while the spatial equation depends on an arbitrary function derived from the cosmological model. Contents includes: an introduction; the Dirac equation; separation of the equations; the time equation; and possible developments.