Evolution of neutron stars with toroidal magnetic fields: Axisymmetric simulation in full general relativity

Kenta Kiuchi, Masaru Shibata, Shijun Yoshida

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

We study the stability of neutron stars with toroidal magnetic fields by magnetohydrodynamic simulation in full general relativity under the assumption of axial symmetry. Nonrotating and rigidly rotating neutron stars are prepared for a variety of magnetic field configuration. For modeling the neutron stars, the polytropic equation of state with the adiabatic index Γ=2 is used for simplicity. It is found that nonrotating neutron stars are dynamically unstable for the case where toroidal magnetic field strength varies 2k-1 with k≥2 (here is the cylindrical radius), whereas for k=1 the neutron stars are stable. After the onset of the instability, unstable modes grow approximately in the Alfvén time scale and, as a result, a convective motion is excited to change the magnetic field profile until a new state, which is stable against axisymmetric perturbation, is reached. We also find that rotation plays a role in stabilization, although the instability still occurs in the Alfvén time scale when the ratio of magnetic energy to rotational kinetic energy is larger than a critical value ∼0.2. Implication for the evolution of magnetized protoneutron stars is discussed.

Original languageEnglish
Article number024029
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number2
DOIs
Publication statusPublished - 2008 Jul 17

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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