Magnetostatic boson stars

TL;DR

This paper constructs and analyzes magnetostatic boson star solutions in Einstein-Maxwell-Klein-Gordon theory, revealing their structure, magnetic field distribution, and potential similarities to neutron stars.

Contribution

It introduces a new class of magnetized boson star solutions with detailed properties and discusses their external field resemblance to neutron stars.

Findings

Solutions are free of divergences in fields and metrics.

Matter density exhibits a torus shape.

Magnetic field shows a dipolar distribution with peculiar central features.

Abstract

We solve the Einstein-Maxwell-Klein-Gordon system of equations and derive a compact, static axially symmetric magnetized object which is electrically neutral and made of two complex massive charged scalar fields. We describe several properties of such solution, including the torus form of the matter density and the expected dipolar distribution of the magnetic field, with some peculiar features in the central regions. The solution shows no divergencies in any of the field and metric functions. A discussion is presented on a case where the gravitational and magnetic fields in the external region are similar to those of neutron stars.