  Within the scope of a spherically symmetric space-time we study the role of a
nonlinear spinor field in the formation of different configurations with
spherical symmetries. The presence of the non-diagonal components of
energy-momentum tensor of the spinor field leads to some severe restrictions on
the spinor field itself. Since spinor field is the source of the gravitational
one, the metric functions also changes in accordance with it. The system as a
whole possesses solutions only in case of some additional conditions on metric
functions.
