Regularized Kerr-Newman Solution as a Gravitating Soliton

TL;DR

This paper presents a novel regularized Kerr-Newman solution modeling a charged, spinning gravitating soliton with a superconducting interior and quantized angular momentum, achieved through a domain wall bubble and Higgs field dynamics.

Contribution

It introduces a regular gravitating soliton solution with a superconducting core and quantized angular momentum, combining Kerr-Newman fields with a chiral Higgs model.

Findings

The Higgs field oscillates similarly to oscillon models.

Electromagnetic field forms a Wilson loop at the bubble edge.

Total angular momentum becomes quantized.

Abstract

The charged, spinning and gravitating soliton is realized as a regular solution of the Kerr-Newman field coupled with a chiral Higgs model. A regular core of the solution is formed by a domain wall bubble interpolating between the external Kerr-Newman solution and a flat superconducting interior. An internal electromagnetic (em) field is expelled to the boundary of the bubble by the Higgs field. The solution reveals two new peculiarities: (i) the Higgs field is oscillating, similar to the known oscillon models, (ii) the em field forms on the edge of the bubble a Wilson loop, resulting in quantization of the total angular momentum.