Soliton-Like Spherical Symmetric Solutions to the Electromagnetic and Scalar Nonlinear Induction Field Equations in the General Relativity Theory

In this paper, we have used the static spherical symmetric metric. The parameter of nonlinearity fields is included in arbitrary function characterizing interaction between electromagnetic and scalar fields. Taking into account own gravitational field elementary particles, obtained exact solutions to equations nonlinear induction. Considering all forms solution Liouville equation, proved that metric functions are regular with localized energy density. Moreover, total induction bounded charge particles has a finite value (soliton-like). flat space-time, soliton-like exist.