Composition temperature-dependent g-modes in superfluid neutron stars

Abstract

We demonstrate a possibility of existence of a peculiar temperature-dependent composition $g$-modes in superfluid neutron stars. We calculate the Brunt-V$\ddot{\mathrm{a}}$is$\ddot{\mathrm{a}}$l$\ddot{\mathrm{a}}$ frequency for these modes, as well as their eigenfrequencies. The latter turn out to be rather large, up to $\sim 500$ Hz for a chosen model of a neutron star. This result indicates, in particular, that use of the barotropic equation of state may be not a good approximation for calculation of inertial modes even in most rapidly rotating superfluid neutron stars.

6 pages, 5 figures, accepted in MNRAS Letters; section "Summary and Outlook" is expanded in comparison with the journal version

References in corpus (7)

• Spin Evolution of Accreting Neutron Stars: Nonlinear Development of the R-mode Instability
• Oscillations of rapidly rotating stratified neutron stars
• Implications of an r-mode in XTE J1751-305: Mass, radius and spin evolution
• Temperature-dependent pulsations of superfluid neutron stars
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
• Excitation of a nonradial mode in a millisecond X-ray pulsar XTE J1751-305
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures

Cited by in corpus (8)

• Resonant tidal excitation of superfluid neutron stars in coalescing binaries
• Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
• Using gravitational-wave data to constrain dynamical tides in neutron star binaries
• General-relativistic treatment of tidal $g$-mode resonances in coalescing binaries of neutron stars. I. Theoretical framework and crust breaking
• Quasi-normal modes of superfluid neutron stars
• The freedom to choose neutron star magnetic field equilibria
• Temperature Effects on Core g-modes of Neutron Stars
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars