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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.00339 |
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| _version_ | 1866915074552102912 |
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| author | Rossetto, Pedro Henrique Barboza Frauendiener, Jörg Melatos, Andrew |
| author_facet | Rossetto, Pedro Henrique Barboza Frauendiener, Jörg Melatos, Andrew |
| contents | General relativistic corrections are calculated for the quadrupole moment of a magnetically confined mountain on an accreting neutron star. The hydromagnetic structure of the mountain satisfies the general relativistic Grad-Shafranov equation supplemented by the flux-freezing condition of ideal magnetohydrodynamics, as in previous calculations of the magnetic dipole moment. It is found that the ellipticity and hence the gravitational wave strain are up to $12\%$ greater than in the analogous Newtonian system. The direct contribution of the magnetic field to the nonaxisymmetric component of the stress-energy tensor is shown to be negligible in accreting systems such as low-mass X-ray binaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quadrupole Moment of a Magnetically Confined Mountain on an Accreting Neutron Star in General Relativity Rossetto, Pedro Henrique Barboza Frauendiener, Jörg Melatos, Andrew High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology General relativistic corrections are calculated for the quadrupole moment of a magnetically confined mountain on an accreting neutron star. The hydromagnetic structure of the mountain satisfies the general relativistic Grad-Shafranov equation supplemented by the flux-freezing condition of ideal magnetohydrodynamics, as in previous calculations of the magnetic dipole moment. It is found that the ellipticity and hence the gravitational wave strain are up to $12\%$ greater than in the analogous Newtonian system. The direct contribution of the magnetic field to the nonaxisymmetric component of the stress-energy tensor is shown to be negligible in accreting systems such as low-mass X-ray binaries. |
| title | Quadrupole Moment of a Magnetically Confined Mountain on an Accreting Neutron Star in General Relativity |
| topic | High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.00339 |