TETRAD EQUATIONS FOR THE TWO-COMPONENT NEUTRINO FIELD IN GENERAL RELATIVITY.

Weyl's neutrino equations are exhibited as equivalent tetrad equations, and the tetrad conditions for a pure radiation neutrino gravitational field are established. It is shown that the neutrino flux vector for the radiation field defines a shear-free and twist-free family of geodesics. A class of metrics is found which can be interpreted either as neutrino radiation or as null Einstein-Maxwell fields.