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This paper deals with an extension of a previous work [Gravitation &Cosmology, Vol. 4, 1998, pp 107--113] to exact spherical symmetric solutions tothe spinor field equations with nonlinear terms which are arbitrary functionsof $S=\bar{\psi}\psi $, taking into account their own gravitational field.Equations with power and polynomial nonlinearities are studied in detail. It isshown that the initial set of the Einstein and spinor field equations with apower nonlinearity has regular solutions with spinor field localized energy andcharge densities. The total energy and charge are finite. Besides, exactsolutions, including soliton - like solutions, to the spinor field equationsare also obtained in flat space-time.

Nonlinear spinor field equations in gravitational theory: spherical symmetric soliton-like solutions