2009/03/18 by S. K. Lander, D. I. Jones · 168 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Astrophysics #Classical mechanics #Computational physics #Formalism (music) #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Magnetic field #Magnetohydrodynamics #Mechanics #Neutron star #Physics #Plasma #Polytrope #Polytropic process #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Rotational symmetry #Toroid #astro-ph.SR
paper · pdf · doi:10.1111/j.1365-2966.2009.14667.x
published in Monthly Notices of the Royal Astronomical Society 395(4), 2162-2176 (Oxford University Press) · 19 pages, 11 figures; typos removed, one paragraph of Discussion rewritten
arxiv created 2009/03/18 · openalex publication_date 2009/04/08 · arxiv updated 2012/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive general equations for axisymmetric Newtonian magnetohydrodynamics and use these as the basis of a code for calculating equilibrium configurations of rotating magnetized neutron stars in a stationary state. We investigate the field configurations that result from our formalism, which include purely poloidal, purely toroidal and mixed fields. For the mixed-field formalism, the toroidal component appears to be bounded at less than 7 per cent. We calculate distortions induced both by magnetic fields and by rotation. From our non-linear work, we are able to look at the realm of validity of perturbative work: we find for our results that perturbative-regime formulae for magnetic distortions agree to within 10 per cent of the non-linear results if the ellipticity is less than 0.15 or the average field strength is less than 1017 G. We also consider how magnetized equilibrium structures vary for different polytropic indices.