Dynamical Bar-Mode Instability in Differentially Rotating Magnetized Neutron Stars

Abstract

This paper presents a numerical study over a wide parameter space of the likelihood of the dynamical bar-mode instability in differentially rotating magnetized neutron stars. The innovative aspect of this study is the incorporation of magnetic fields in such a context, which have thus far been neglected in the purely hydrodynamical simulations available in the literature. The investigation uses the Cosmos++ code which allows us to perform three dimensional simulations on a cylindrical grid at high resolution. A sample of Newtonian magneto-hydrodynamical simulations starting from a set of models previously analyzed by other authors without magnetic fields has been performed, providing estimates of the effects of magnetic fields on the dynamical bar-mode deformation of rotating neutron stars. Overall, our results suggest that the effect of magnetic fields are not likely to be very significant in realistic configurations. Only in the most extreme cases are the magnetic fields able to suppress growth of the bar mode.

12 pages, 16 figures. References added and minor edits made to match published version

References in corpus (6)

• Simulations of Magnetically-Driven Supernova and Hypernova Explosions in the Context of Rapid Rotation
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• The gravitational wave burst signal from core collapse of rotating stars
• 3D Collapse of Rotating Stellar Iron Cores in General Relativity including Deleptonization and a Nuclear Equation of State
• Accurate simulations of the dynamical bar-mode instability in full General Relativity
• A new general relativistic magnetohydrodynamics code for dynamical spacetimes

Cited by in corpus (19)

• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Accurate evolutions of inspiralling and magnetized neutron-stars: equal-mass binaries
• Rotational properties of hypermassive neutron stars from binary mergers
• An Optically Targeted Search for Gravitational Waves emitted by Core-Collapse Supernovae during the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• Magnetorotational core collapse of possible GRB progenitors. II. Formation of protomagnetars and collapsars
• On the Shear Instability in Relativistic Neutron Stars
• On the dynamical bar-mode instability in spinning bosonic stars
• The Transient Gravitational-Wave Sky
• Numerical Simulations of a Jet-Cloud Collision and Starburst: Application to Minkowski's Object
• Dynamical bar-mode instability in rotating and magnetized relativistic stars
• Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars
• Relativistic Tidal Disruption and Nuclear Ignition of White Dwarf Stars by Intermediate Mass Black Holes
• The intimate relation between the low T/W instability and the co-rotation point
• Uniformly rotating, axisymmetric and triaxial quark stars in general relativity
• Merger-inspired rotation laws and the low-T/W instability in neutron stars
• Low-$T/|W|$ instabilities in differentially rotating proto-neutron stars with magnetic fields
• Magnetized stars with differential rotation and a differential toroidal field
• Nuclear Ignition of White Dwarf Stars by Relativistic Encounters with Rotating Intermediate Mass Black Holes
• Bar-mode instability suppression in magnetized relativistic stars