Spontaneous scalarization of self-gravitating magnetic fields
General Relativity and Quantum Cosmology
2021-06-16 v1 High Energy Physics - Theory
Abstract
In this paper, we study the spontaneous scalarization of an extended, self-gravitating system which is static, cylindrically symmetric and possesses electromagnetic fields. We demonstrate that a real massive scalar field condenses on this Melvin magnetic universe solution when introducing a non-minimal coupling between the scalar field and (a) the magnetic field and (b) the curvature of the space-time, respectively. We find that in both cases, the solutions exist on a finite interval of the coupling constant and that solutions with a number of nodes in the scalar field exist. For case (a) we observe that the intervals of existence are mutually exclusive for different .
Keywords
Cite
@article{arxiv.2103.09307,
title = {Spontaneous scalarization of self-gravitating magnetic fields},
author = {Yves Brihaye and Rogério Capobianco and Betti Hartmann},
journal= {arXiv preprint arXiv:2103.09307},
year = {2021}
}