Exact Self-consistent Particle-like Solutions to the Equations of Nonlinear Scalar Electrodynamics in General Relativity

TL;DR

This paper presents exact, self-consistent solutions describing particle-like configurations in nonlinear scalar electrodynamics coupled with gravity, including special droplet solutions with zero mass and charge.

Contribution

It introduces new exact solutions with spherical and cylindrical symmetry, including droplets with sharp boundaries and flat spacetime outside.

Findings

Solutions exhibit spherical and cylindrical symmetry.

Droplet solutions have zero mass and charge.

Outside the critical boundary, spacetime is flat.

Abstract

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is shown that the equations of motion admit a special kind of solutions with sharp boundary known as droplets. 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 these configurations are zero.