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