  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 non-magnetized stars. By assuming
ideal magnetohydrodynamics and employing one-parameter 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.
