Universal relations between the quasinormal modes of neutron star and tidal deformability

TL;DR

This paper derives new universal relations linking neutron star quasinormal mode frequencies and damping rates to tidal deformability, enabling precise predictions independent of the EOS.

Contribution

It introduces novel universal relations for gravitational wave modes and damping rates as functions of tidal deformability, improving neutron star property inference.

Findings

Predicts $f$-mode frequencies with less than 1% accuracy.

Provides universal relations for $p_1$ and $w_1$ modes.

Enhances neutron star parameter estimation from gravitational waves.

Abstract

Universal relations independently of the equation of state (EOS) for neutron star matter are valuable, if they exist, for extracting the neutron star properties, which generally depend on the EOS. In this study, we newly derive the universal relations predicting the gravitational wave frequencies for the fundamental ($f$), the 1st pressure ($p_1$), and the 1st spacetime ($w_1$) modes and the damping rate for the $f$- and $w_1$-modes as a function of the dimensionless tidal deformability. In particular, with the universal relations for the $f$-modes one can predict the frequencies and damping rate with less than $1\%$ accuracy for canonical neutron stars.