Constraining equation-of-state groups from <i>g</i>-mode asteroseismology

Buoyancy-restored modes inside neutron stars depend sensitively on both the microphysical (e.g., composition and entropy gradients) macrophysical stellar mass radius) properties of star. Asteroseismology efforts for $g$-modes are therefore particularly promising avenues recovering information concerning nuclear equation state. In this work it is shown that overall low-temperature $g$-space consists multiple groups corresponding to different classes state hadronic vs. hybrid). This in contrast case pressure-driven modes, example, which tend follow a universal relation regardless considerations. Using wide library currently-viable equations state, perturbations static, stratified calculated general relativity demonstrate particular how groupings can be classified according mean density, temperature, central speed sound, tidal deformability. Considering present future observations regarding gravitational waves, accretion outbursts, quasi-periodic oscillations, precursor flashes from gamma-ray bursts, one might determine group belong to.