Universal relations between the quasinormal modes of neutron star and tidal deformability. (arXiv:2109.08145v2 [gr-qc] UPDATED)

Universal relations between the quasinormal modes of neutron star and tidal deformability. (arXiv:2109.08145v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Sotani_H/0/1/0/all/0/1">Hajime Sotani</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Kumar_B/0/1/0/all/0/1">Bharat Kumar</a>

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.

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.

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