Note on the charged boson stars with torsion-coupled field

TL;DR

This paper explores charged boson stars within extended teleparallel gravity, revealing that charge and torsion coupling significantly increase their maximum mass and particle number, with unique energy density profiles.

Contribution

It extends previous models by including a $U(1)$ gauge field, demonstrating enhanced stability and mass support due to charge and torsion coupling effects.

Findings

Charge increases maximum mass and particle number.

Energy density remains outwardly increasing in some charged configurations.

Torsion coupling influences pressure anisotropy independently of charge.

Abstract

Within the framework of the extended teleparallel gravity, a new class of boson stars has recently been constructed by introducing the nonminimal coupling of the scalar field to the torsion scalar. An interesting feature of these static, spherical, self-gravitating configurations of the massive complex scalar field is their central region with outwardly increasing energy density, surrounded by a thick shell within which the joining with the usual asymptotically Schwarzschild tail takes place. In this work we extend the original model with the $U(1)$ gauge field and we find that the combined effect of the charge and coupling of the field to torsion leads to a significant increase of the maximal mass and the particle number that can be supported against gravity. We also show that some charged configurations preserve the property of having the outwardly increasing energy density over the central region, regardless of the fact that charging the configurations affects the anisotropy of the pressures in the opposite way relative to that of the field-to-torsion coupling terms.