Abstract
The Dirac equation is studied for a sufficiently large class of Lemaįtre—Tolman—Bondi cosmological models. While the angular equation (whose solution is known) separates directly, the spatial and temporal dependence de-couples only after a suitable separation procedure. The separated time equation is integrated by series. The separated spatial equation still depends on an arbitrary function relative to the integration of the cosmological model.
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Zecca, A. Dirac Equation in Lemaįtre—Tolman—Bondi Models. General Relativity and Gravitation 32, 1197–1206 (2000). https://doi.org/10.1023/A:1001950718322
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DOI: https://doi.org/10.1023/A:1001950718322