Droplet-like solutions to the equations of scalar nonlinear electrodynamics in general relativity

Summary: "It is shown, for the self-consistent system of scalar, electromagnetic and gravitational fields in general relativity, that the equations of motion admit a special kind of solution with spherical or cylindrical symmetry. For these solutions, the physical fields vanish and the space-time is flat outside of the critical sphere or cylinder. Therefore the mass and the electric charge of any of of these configurations are zero."