Note on the charged boson stars with torsion-coupled field

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.Comment: 11 pages, 2 figures, v2: appendix added, matches published versio

Regular solutions in f(T) -Yang-Mills theory

“…However, we find that the successful magnetic solutions having this gravitational vanishing criterion at infinity turn out to indeed meet the condition of no global magnetic charge, as defined by (22). Electric solutions are studied separately below, and will turn out to possess a global electric charge dictated by (21).…”

“…As well, f (T ) gravity has been applied to the study of relativistic stellar structure [11] - [14] and, to a lesser extent, black holes [15] - [19]. In relevance to electromagnetism, teleparallel gravity has been used in a number of interesting studies [20], [21], [22].…”

Matter conditions for regular black holes inf(T)gravity

“…The diagonal tetrad (9) was utilized in [23] to study higher dimensional models. (10) has also been used to discern some torsion only effects with non-minimal coupling to scalar fields in the teleparallel equivalent of general relativity [24]. Dirac field coupling has been considered in [25].…”

Spherically symmetric vacuum in covariant F(T)=T+α2T2+DeBenedictis1, Ilijić2 2016Phys. Rev. D6810612View full textAdd to dashboardCite

“…The action for the extended theory can be written as 1 where L m represents the matter Lagrangian density, κ = 8π, h a µ is the tetrad, and F (T ) is a function of the torsion scalar, T . When F (T ) is linear in T , and the matter coupling is minimal [2], [3], the theory is equivalent to general relativity. However, when F (T ) possesses terms non-linear in T the theory can be radically different from the corresponding F (R) theory.…”