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

The nonlinear spinor field in the external gravitational field of the Goedel universe is considered and exact static solutions to the field equations corresponding to the Lagrangians with the nonlinear terms LN=F(IS) and LN=G(IP) are obtained. Here F(IS) and G(IP) are arbitrary functions of the spinor invariants IS=S+Ψ bar Ψ and IP=P2=(iΨ bar γ5Ψ)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. 9 refs., 1 fig