Abstracto
- Starting from the plane‐wave metric, solutions to the Einstein field equations coupled to a Weyl neutrino field and to a Yang–Mills field are found. These solutions can be superposed to yield a solution with both sources if the direct interaction between them is neglected. A solution to the coupled Einstein–Yang–Mills–Weyl equations that represents a multiplet of neutrino fields interacting with the gauge field and the gravitational field is also found. All these solutions contain arbitrary functions.