LIV All-Russia conference on problems in dynamics, particle physics, plasma physics and optoelectronics. Moscow, Russia, 14-17 may 2018 г..
РУДН.
2018.
P. 106-112
Within the scope of a spherically symmetric gravitational field we study the role of a nonlinear spinor field in the formation of such configurations. 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. The system as a whole possesses solutions only in case of some additional conditions on metric functions.