SPHERICAL SYMMETRIC SOLITONS OF SPINOR FIELDIN GRAVITATIONAL THEORY

This paper deals with soliton-like solutions as model in order to describe the configurations of elementary particles through the interaction of their fields in general relativity. To this end, we have obtainedexact sphericalsymmetric soliton-like solutions to the nonlinear spinor field equations, taking into account the proper gravitational field of elementary particles. The nonlinear terms in the spinor field lagrangian are given by an arbitrary function  depending on the invariant  with ѱ and . It is shown that, under certain choice of the nonlinear terms in the spinor lagrangian, the solutions are regular with a localized energy density, limited total energy only if m=0 (m is the mass parameter in the spinor field equations). In addition, the total charge and the total spin are bounded. The solutions to Heisenberg-Ivanenko nonlinear equation have been also obtained.Let us emphasize that Heisenberg-Ivanenkononlinear spinor field equation possesses soliton-like solutions. Later, the influence of the nonlinear terms in the formation of the fields configurations with limited total energy have been examined. We noted that, in linear case, the obtained solutionsare regular andhaving an unlimited energy density. Nevertheless, exact solutions, including soliton-like configurations existin flat space-time.