Neutron star g-modes in the relativistic Cowling approximation

Abstract

Mature neutron stars are expected to exhibit gravity g-modes due to stratification caused by a varying matter composition in the high-density core. By employing the BSk equation of state family, and working within the relativistic Cowling approximation, we examine how subtle differences in the nuclear matter assumptions impact on the g-mode spectrum. We investigate the possibility of detecting individual g-mode resonances during a binary inspiral with current and next-generation ground-based detectors, like Cosmic Explorer and the Einstein Telescope. Our results suggest that these resonances may be within the reach of future detectors, especially for low mass stars with $M\lesssim 1.4M_{\odot }$.

18 pages, 10 figures and 2 tables

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• Neutron-star seismology with realistic, finite-temperature nuclear matter
• The tidal response of a relativistic star
• Suppression of composition $g$-modes in chemically-equilibrating warm neutron stars
• Dynamical neutron-star tides: The signature of a mode resonance
• Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework
• The $g$-mode frequencies in cold neutron stars and nuclear saturation parameters