Exact solutions to the nonlinear spinor field equations in the Gödel universe

Summary: "The nonlinear spinor field in the external gravitational field of the Gödel universe is considered and exact static solutions to the field equations corresponding to the Lagrangians with the nonlinear terms {scr L}_N=F(I_S) and {scr L}_N=G(I_P) are obtained. Here F(I_S) and G(I_P) are arbitrary functions of the spinor invariants I_S=S=overlinePsiPsi and I_P=P^2=(ioverlinePsigamma^5Psi)^2. 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."