Selfsimilarity relations for torsional oscillations of neutron stars
arXiv:2210.02931 · doi:10.1093/mnras/stac2871
Abstract
Selfsimilarity relations for torsional oscillation frequencies of neutron star crust are discussed. For any neutron star model, the frequencies of fundamental torsional oscillations (with no nodes of radial wave function, i.e. at n=0, and at all possible angular wave numbers l >= 2) is determined by a single constant. Frequencies of ordinary torsional oscillations (at any n>0 with l >= 2) are determined by two constants. These constants are easily calculated through radial integrals over the neutron star crust, giving the simplest method to determine full oscillation spectrum. All constants for a star of fixed mass can be accurately interpolated for stars of various masses (but the same equation of state). In addition, the torsional oscillations can be accurately studied in the flat space-time approximation within the crust. The results can be useful for investigating magneto-elastic oscillations of magnetars which are thought to be observed as quasi-periodic oscillations after flares of soft-gamma repeaters.
arXiv comment11 pages, 8 figures, MNRAS, accepted
References in corpus (53)
- A Massive Pulsar in a Compact Relativistic Binary
- The equation of state for nucleon matter and neutron star structure
- A unified equation of state of dense matter and neutron star structure
- Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
- Magnetars
- The McGill Magnetar Catalog
- PSR J0952-0607: The Fastest and Heaviest Known Galactic Neutron Star
- Discovery of Rapid X-ray Oscillations in the Tail of the SGR 1806-20 Hyperflare
- Analytical representations of unified equations of state for neutron-star matter
- Global Seismic Oscillations in Soft Gamma Repeaters
- Neutron Star Asteroseismology. Axial Crust Oscillations in the Cowling Approximation
- Detection with RHESSI of high frequency X-ray oscillations in the tail of the 2004 hyperflare from SGR 1806-20
- Torsional Oscillations of Relativistic Stars with Dipole Magnetic Fields
- QPOs during magnetar flares are not driven by mechanical normal modes of the crust
- Magneto-elastic oscillations of neutron stars with dipolar magnetic fields
- Probing the Equation of State of Nuclear Matter via Neutron Star Asteroseismology
- On the theory of magnetar QPOs
- Thermonuclear X-ray bursts
- Elastic or magnetic? A toy model for global magnetar oscillations with implications for QPOs during flares
- Magnetars oscillations in the presence of a crust
- Effect of superfluidity on neutron star crustal oscillations
- Magneto-elastic oscillations and the damping of crustal shear modes in magnetars
- Coupled polar-axial magnetar oscillations
- Alfven QPOs in magnetars in the anelastic approximation
- Possible Constraints on the Density Dependence of the Nuclear Symmetry Energy from Quasiperiodic Oscillations in Soft Gamma Repeaters
- On the Quasi-Periodic Oscillations of Magnetars
- Magnetar Oscillations I: strongly coupled dynamics of the crust and the core
- Superfluid signatures in magnetar seismology
- Quasi-Periodic Oscillations in Short Recurring Bursts of the Soft-Gamma Repeater J1550-5418
- Magneto-elastic oscillations of neutron stars: exploring different magnetic field configurations
- Superburst Models for Neutron Stars with Hydrogen and Helium-Rich Atmospheres
- Quasi-periodic oscillations in superfluid magnetars
- Quasi-Periodic Oscillations in Short Recurring Bursts of the magnetars SGR 1806-20 and SGR 1900+14 Observed With RXTE
- Imprints of superfluidity on magneto-elastic QPOs of SGRs
- Possible identifications of newly observed magnetar quasi-periodic oscillations as crustal shear modes
- Constraints on the nuclear equation of state and the neutron star structure from crustal torsional oscillations
- Probing nuclear bubble structure via neutron star asteroseismology
- Magnetar Oscillations II: spectral method
- Astrophysical implications of double-layer torsional oscillations in a neutron star crust as a lasagna sandwich
- A superburst candidate in EXO 1745--248 as a challenge to thermonuclear ignition models
- Nonradial Oscillations of Neutron Stars with a Solid Crust -- Analysis in the Relativistic Cowling Approximation--
- Constraining properties of high-density matter in neutron stars with magneto-elastic oscillations
- Bayesian timing analysis of giant flare of SGR 1806-20 by RXTE PCA
- Coherent magneto-elastic oscillations in superfluid magnetars
- Glassy quantum nuclear pasta in neutron star crusts
- Probing crustal structures from neutron star compactness
- Torsional Oscillations of a Magnetar with a Tangled Magnetic Field
- Deformed crystals and torsional oscillations of neutron star crust
- Search for quasi-periodic signals in magnetar giant flares
- Empirical formula of crustal torsional oscillations
- Constraining the density dependence of the nuclear symmetry energy from an X-ray bursting neutron star
- Screening corrections to the Coulomb crystal elastic moduli
- Effects of finite sizes of atomic nuclei on shear modulus and torsional oscillations in neutron stars
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