Stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones in general relativity: A perturbation analysis
Abstract
We construct the stably stratified magnetized stars within the framework of general relativity. The effects of magnetic fields on the structure of the star and spacetime are treated as perturbations of nonmagnetized stars. By assuming ideal magnetohydrodynamics and employing oneparameter equations of state, we derive basic equations for describing stationary and axisymmetric stably stratified stars containing magnetic fields whose toroidal components are much larger than the poloidal ones. A number of the polytropic models are numerically calculated to investigate basic properties of the effects of magnetic fields on the stellar structure. According to the stability result obtained by Braithwaite, which remains a matter of conjecture for general magnetized stars, certain of the magnetized stars constructed in this study are possibly stable.
 Publication:

Physical Review D
 Pub Date:
 April 2019
 DOI:
 10.1103/PhysRevD.99.084034
 arXiv:
 arXiv:1811.11564
 Bibcode:
 2019PhRvD..99h4034Y
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 23 pages, 11 figures. arXiv admin note: text overlap with arXiv:1207.1942