Exact, self-consistent, plane-symmetric solutions of the equation for a spinor field with a nonlinear term that depends on the invariantS 2+P 2

Exact solutions of the Einstein-Dirac equations are found and it is shown that when gravitation is excluded, no solution of the soliton type exists. Russian University of People's Friendship. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 42, No. 2, pp. 55–61, February, 1999.