Neutron star g-modes in the relativistic Cowling approximation

TL;DR

This paper studies neutron star gravity g-modes using the relativistic Cowling approximation, exploring how nuclear matter assumptions affect the spectrum and assessing the detectability of these modes with future gravitational wave detectors.

Contribution

It introduces a detailed analysis of neutron star g-modes within the relativistic Cowling approximation using the BSk equation of state, and evaluates their potential observability with next-generation detectors.

Findings

G-mode resonances may be detectable in low-mass neutron stars.

Differences in nuclear matter assumptions influence the g-mode spectrum.

Future detectors could observe these resonances during binary inspirals.

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 $M\lesssim1.4M_\odot$.