Relativistic Stars with Poloidal and Toroidal Magnetic Fields and Meridional Flow

We investigate stationary axisymmetric configurations of magnetized stars inthe framework of general relativistic ideal magnetohydrodynamics. Ourrelativistic stellar model incorporates a toroidal magnetic field andmeridional flow in addition to a poloidal magnetic field for the first time.The magnetic field and meridional flow are treated as perturbations, but noother approximation is made. We find that the stellar shape can be prolaterather than oblate when a toroidal field exists. We also find that, for fixedbaryonic mass and total magnetic helicity, more spherical the star is, lowerthe energy it has. Further, we find two new types of the frame dragging effectwhich differ from the standard one in a rotating star or Kerr geometry. Theymay violate the reflection symmetry about the equatorial plane.Comment: 22 pages, 8 figures, 2 tables, emulateapj.cls used, accepted for publication in Ap