Couplings of torsional and shear oscillations in a neutron star crust

Fuente: arXiv
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Main Authors: Sotani, Hajime, Suvorov, Arthur G., Kokkotas, Kostas D.
Format: Preprint
Published: 2024
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_version_ 1866914874171326464
author Sotani, Hajime
Suvorov, Arthur G.
Kokkotas, Kostas D.
author_facet Sotani, Hajime
Suvorov, Arthur G.
Kokkotas, Kostas D.
contents Mature neutron stars are thought to be sufficiently cold that nuclei in the outer layers freeze, solidifying a crust. Crustal elasticity allows the star to support a set of seismic modes, such as torsional oscillations. These axial-parity modes can couple to the polar sector in a number of ways, for example via rotation or a magnetic field. Even in a static, spherically-symmetric star however these modes can couple at non-linear order. In this study, such couplings in the crust are examined for the first time: we derive the axisymmetric perturbation equations for second-order axial eigenfunctions, which are sourced by axial-polar couplings at first-order, and solve the resulting equations in the time domain. Through our studies, we find that the second-order spectrum contains additional oscillation modes, not predicted by the linear analysis with either axial or polar perturbations, which can be excited to relatively large amplitudes.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17195
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Couplings of torsional and shear oscillations in a neutron star crust
Sotani, Hajime
Suvorov, Arthur G.
Kokkotas, Kostas D.
High Energy Astrophysical Phenomena
Mature neutron stars are thought to be sufficiently cold that nuclei in the outer layers freeze, solidifying a crust. Crustal elasticity allows the star to support a set of seismic modes, such as torsional oscillations. These axial-parity modes can couple to the polar sector in a number of ways, for example via rotation or a magnetic field. Even in a static, spherically-symmetric star however these modes can couple at non-linear order. In this study, such couplings in the crust are examined for the first time: we derive the axisymmetric perturbation equations for second-order axial eigenfunctions, which are sourced by axial-polar couplings at first-order, and solve the resulting equations in the time domain. Through our studies, we find that the second-order spectrum contains additional oscillation modes, not predicted by the linear analysis with either axial or polar perturbations, which can be excited to relatively large amplitudes.
title Couplings of torsional and shear oscillations in a neutron star crust
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2406.17195