Nonlinear electrodynamics and particle-like solutions with allowance for gravitation

A question concerning the existence of different types of spherically-symmetric particle-like solutions (PLS) in the GRT with nonlinear electromagnetic fields, i.e. solutions with a regular centre and those with a throat and second spatial asymptotics is considered. It is shown that in the given class of theories there is no PLS with a nonzero magnetic charge and for gauge-invariant lagrangians. For the class of lagrangians with an explicit potential dependence PLSs of both types are determined and restrictions on their parameters are found