Exact solutions to the interacting spinor and scalar field equations in the Gödel universe

Summary: "The interacting spinor and scalar field system with two kinds of interaction Lagrangians, {scr L}_{rm int}={1over2}phi_{,beta}phi^{,beta}F(I_S) and {scr L}_{rm int}={1over2}phi_{,beta}phi^{,beta}G(I_P), in the external gravitational field of the Gödel universe is considered. Exact solutions to the corresponding field equations are obtained. The conditions under which one-dimensional soliton-like solutions exist are established and the role of gravity in the formation of these objects is determined."