Astrophysical constraints on neutron star $f$-modes with a nonparametric equation of state representation

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Main Authors: Mohanty, Sailesh Ranjan, Mali, Utkarsh, Das, H. C., Kumar, Bharat, Landry, Philippe
Format: Preprint
Published: 2024
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author Mohanty, Sailesh Ranjan
Mali, Utkarsh
Das, H. C.
Kumar, Bharat
Landry, Philippe
author_facet Mohanty, Sailesh Ranjan
Mali, Utkarsh
Das, H. C.
Kumar, Bharat
Landry, Philippe
contents We constrain the fundamental-mode ($f$-mode) oscillation frequencies of nonrotating neutron stars using a phenomenological Gaussian process model for the unknown dense-matter equation of state conditioned on a suite of gravitational-wave, radio and X-ray observations. We infer the quadrupolar $f$-mode frequency preferred by the astronomical data as a function of neutron star mass, with error estimates that quantify the impact of equation of state uncertainty, and compare it to the contact frequency for inspiralling neutron-star binaries, finding that resonance with the orbital frequency can be achieved for the coalescences with the most unequal mass ratio. For an optimally configured binary neutron star merger, we estimate the gravitational waveform's tidal phasing due to $f$-mode dynamical tides as $7^{+2}_{-3}$ rad at merger. We assess prospects for distinguishing $f$-mode dynamical tides with current and future-generation gravitational-wave observatories.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16689
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Astrophysical constraints on neutron star $f$-modes with a nonparametric equation of state representation
Mohanty, Sailesh Ranjan
Mali, Utkarsh
Das, H. C.
Kumar, Bharat
Landry, Philippe
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
We constrain the fundamental-mode ($f$-mode) oscillation frequencies of nonrotating neutron stars using a phenomenological Gaussian process model for the unknown dense-matter equation of state conditioned on a suite of gravitational-wave, radio and X-ray observations. We infer the quadrupolar $f$-mode frequency preferred by the astronomical data as a function of neutron star mass, with error estimates that quantify the impact of equation of state uncertainty, and compare it to the contact frequency for inspiralling neutron-star binaries, finding that resonance with the orbital frequency can be achieved for the coalescences with the most unequal mass ratio. For an optimally configured binary neutron star merger, we estimate the gravitational waveform's tidal phasing due to $f$-mode dynamical tides as $7^{+2}_{-3}$ rad at merger. We assess prospects for distinguishing $f$-mode dynamical tides with current and future-generation gravitational-wave observatories.
title Astrophysical constraints on neutron star $f$-modes with a nonparametric equation of state representation
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
url https://arxiv.org/abs/2410.16689