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Astrophysics > High Energy Astrophysical Phenomena

arXiv:2404.00339 (astro-ph)
[Submitted on 30 Mar 2024]

Title:Quadrupole Moment of a Magnetically Confined Mountain on an Accreting Neutron Star in General Relativity

Authors:Pedro Henrique Barboza Rossetto, Jörg Frauendiener, Andrew Melatos
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Abstract: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 is $4\%$ to $12\%$ smaller than in the analogous Newtonian system. The direct contribution of the magnetic field to the nonaxisymmetric component of the stress-energy tensor is also considered, and it is shown that it is negligible in systems such as low-mass X-ray binaries.
Subjects: High Energy Astrophysical Phenomena (astro-ph.HE); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2404.00339 [astro-ph.HE]
  (or arXiv:2404.00339v1 [astro-ph.HE] for this version)
  https://doi.org/10.48550/arXiv.2404.00339

Submission history

From: Pedro Henrique Barboza Rossetto [view email]
[v1] Sat, 30 Mar 2024 12:25:37 UTC (299 KB)
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