Solitons of nonlinear scalar electrodynamics in general relativity

Abstract

Solitons with spherical and/or cylindrical symmetry in 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 solution with a sharp boundary, known as droplets. For these solutions, the physical fields vanish and the space-time is fiat outside of the critical sphere or cylinder. Therefore, the mass and the electric charge of these configurations are zero.

Nonlinear spinor field in cosmology

“…An attempt was made by us for several years. In doing so, we studied the nonlinear spinor field in a Bianchi-type I universe (BI) in a series of papers [1,2,3,4,5,6,7,8,9].…”

Static Plane-Symmetric Nonlinear Spinor and Scalar Fields in GR

“…These properties lead to a definite physical interest in the gravitational field that goes with these matter fields. This project was realized in a number of papers where the authors thoroughly studied the scalar and/or electromagnetic field(s) in spherically and cylindrically space-time Shikin, 1991, 2001;Rybakov et al, 1992Rybakov et al, , 1994Rybakov et al, , 1997Rybakov et al, , 1998Saha, 2000). Nevertheless, papers, dealing with soliton-like solutions of nonlinear field equations, ignore the proper gravitational field 4 in the initial field system more often than not.…”

A cyclic universe with colour fields

“…We assume that such a replacement is possible because non-singular solutions to the Einstein field equations are known to exist. They include, in particular, a nonsingular topological feature known as the Einstein-Rosen bridge [78][79][80], as well as some solitonic solutions with scalar fields used for modelling particles [81][82][83], the false-vacuum bubbles [84], Chern-Simon vortices [85][86][87] and Falaco solitons [88,89]. There are many models that consider topological features as particles or systems of interacting particles [90][91][92][93][94].…”