Summary
The problem of the exact solutions of the Weyl equation in the presence of the gravitational field is investigated by means of an algebraic method of separation of variables. Only the diagonal metrics are taken into account here. Our approach allows to find all the configurations of the gravitational fields when the complete separation of variables is possible. Some exact solutions of the Weyl equation for the concrete gravitational metrics (namely Kassner metric, Petrov space-time, de Sitter and Friedmann cosmological models) are found.
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Shishkin, G.V. Two-component neutrino in gravitational field. Il Nuovo Cimento B 109, 617–633 (1994). https://doi.org/10.1007/BF02728445
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DOI: https://doi.org/10.1007/BF02728445