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Magnetic fields in axisymmetric neutron stars

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
0035-8711
2162-2176
Lander, S.K.
2cad9dc5-3e37-44ed-8ffc-009e7daba257
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
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), 2162-2176. (doi:10.1111/j.1365-2966.2009.14667.x).

Record type: Article

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

Identifiers

Local EPrints ID: 143387
URI: http://eprints.soton.ac.uk/id/eprint/143387
ISSN: 0035-8711
PURE UUID: 132cb8e0-0d1a-4d3d-a36a-404c8ff84f06
ORCID for D.I. Jones: ORCID iD orcid.org/0000-0002-0117-7567

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Date deposited: 08 Apr 2010 15:54
Last modified: 28 Apr 2022 01:45

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Contributors

Author: S.K. Lander
Author: D.I. Jones ORCID iD

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