Two-component neutrino in gravitational field.

Mathematics – Logic

Scientific paper

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Cosmological Models: Metrics

Scientific paper

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. The 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 Kasner metric, Petrov space-time, de Sitter and Friedmann cosmological models) are found.

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