Magnetized stars with differential rotation and a differential toroidal field

Abstract

We have succeeded in obtaining magnetized equilibrium states with differential rotation and differential toroidal magnetic fields. If an internal toroidal field of a proto-neutron star is wound up from the initial poloidal magnetic field by differential rotation, the distribution of the toroidal magnetic field is determined by the profile of this differential rotation. However, the distributions of the toroidal fields in all previous magnetized equilibrium studies do not represent the magnetic winding by the differential rotation of the star. In this paper, we investigate a formulation of a differential toroidal magnetic field that represents the magnetic field wound up by differential rotation. We have developed two functional forms of differential toroidal fields which correspond to a v-constant and a j-constant field in analogy to differential rotations. As the degree of the differential becomes very high, the toroidal magnetic field becomes highly localized and concentrated near the rotational axis. Such a differential toroidal magnetic field would suppress the low-T/|W| instability more efficiently even if the total magnetic field energy is much smaller than that of a non-differential toroidal magnetic field.

10 pages, 4 figures; published in MNRAS

References in corpus (10)

• 3D Collapse of Rotating Stellar Iron Cores in General Relativity including Deleptonization and a Nuclear Equation of State
• Semi-global simulations of the magneto-rotational instability in core collapse supernovae
• Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity
• Relativistic stars with purely toroidal magnetic fields
• Axisymmetric and stationary structures of magnetized barotropic stars with extremely strong magnetic fields deep inside
• Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars
• Corotational Instability, Magnetic Resonances and Global Inertial-Acoustic Oscillations in Magnetized Black-Hole Accretion Discs
• The intimate relation between the low T/W instability and the co-rotation point
• Low-$T/|W|$ instabilities in differentially rotating proto-neutron stars with magnetic fields
• Papaloizou-Pringle Instability of Magnetized Accretion Tori

Cited by in corpus (8)

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• Effects of rotation and magnetic field on the revival of a stalled shock in supernova explosions
• Merger-inspired rotation laws and the low-T/W instability in neutron stars
• A versatile numerical method for obtaining structures of rapidly rotating baroclinic stars: self-consistent and systematic solutions with shellular-type rotation
• Four-Hair Relations for Differentially Rotating Neutron Stars in the Weak-Field Limit
• Vorticity and magnetic dynamo from subsonic expansion waves