Magnetic fields in axisymmetric neutron stars
Magnetic fields in axisymmetric neutron stars
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 10^17 G. We also consider how magnetized equilibrium structures vary for different polytropic indices.
gravitational waves, stars: magnetic fields, stars: neutron
2162-2176
Lander, S.K.
2cad9dc5-3e37-44ed-8ffc-009e7daba257
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
June 2009
Lander, S.K.
2cad9dc5-3e37-44ed-8ffc-009e7daba257
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Lander, S.K. and Jones, D.I.
(2009)
Magnetic fields in axisymmetric neutron stars.
Monthly Notices of the Royal Astronomical Society, 395 (4), .
(doi:10.1111/j.1365-2966.2009.14667.x).
Abstract
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 10^17 G. We also consider how magnetized equilibrium structures vary for different polytropic indices.
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Published date: June 2009
Keywords:
gravitational waves, stars: magnetic fields, stars: neutron
Organisations:
Applied Mathematics
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Local EPrints ID: 143387
URI: http://eprints.soton.ac.uk/id/eprint/143387
ISSN: 1365-2966
PURE UUID: 132cb8e0-0d1a-4d3d-a36a-404c8ff84f06
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Date deposited: 08 Apr 2010 15:54
Last modified: 14 Mar 2024 02:43
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Author:
S.K. Lander
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