Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework

Fuente: arXiv
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Autori principali: Zheng, Zhihao, Wang, Ziming, Deng, Jinwen, Dong, Yiming, Shao, Lijing
Natura: Preprint
Pubblicazione: 2025
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author Zheng, Zhihao
Wang, Ziming
Deng, Jinwen
Dong, Yiming
Shao, Lijing
author_facet Zheng, Zhihao
Wang, Ziming
Deng, Jinwen
Dong, Yiming
Shao, Lijing
contents Despite the large uncertainties in the equation of state for neutron stars (NSs), a tight universal ``Love-Q'' relation exists between their dimensionless tidal deformability, $Λ$, and the dimensionless quadrupole moment, $Q$. However, this relation has not yet been directly measured through observations. Gravitational waves (GWs) emitted from binary NS (BNS) coalescences provide an avenue for such a measurement. In this study, we adopt a hierarchical Bayesian framework and combine multiple simulated GW events to measure the Love-Q relation. We simulate 1000 GW sources and select 20 events with the highest signal-to-noise ratios and NS spins for the analysis. By inspecting four parameterization models of the Love-Q relation, we observe strong correlations between the model parameters. We verify that a linear relation between $\lnΛ$ and $\ln Q$ is practically sufficient to describe the Love-Q relation with the precision expected from next-generation GW detectors. Furthermore, we utilize the inferred Love-Q relation to test modified gravity. Taking the dynamical Chern-Simons gravity as an example, our results suggest that the characteristic length can be constrained to $10\, \mathrm{km}$ or less with future GW observations.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22137
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework
Zheng, Zhihao
Wang, Ziming
Deng, Jinwen
Dong, Yiming
Shao, Lijing
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Despite the large uncertainties in the equation of state for neutron stars (NSs), a tight universal ``Love-Q'' relation exists between their dimensionless tidal deformability, $Λ$, and the dimensionless quadrupole moment, $Q$. However, this relation has not yet been directly measured through observations. Gravitational waves (GWs) emitted from binary NS (BNS) coalescences provide an avenue for such a measurement. In this study, we adopt a hierarchical Bayesian framework and combine multiple simulated GW events to measure the Love-Q relation. We simulate 1000 GW sources and select 20 events with the highest signal-to-noise ratios and NS spins for the analysis. By inspecting four parameterization models of the Love-Q relation, we observe strong correlations between the model parameters. We verify that a linear relation between $\lnΛ$ and $\ln Q$ is practically sufficient to describe the Love-Q relation with the precision expected from next-generation GW detectors. Furthermore, we utilize the inferred Love-Q relation to test modified gravity. Taking the dynamical Chern-Simons gravity as an example, our results suggest that the characteristic length can be constrained to $10\, \mathrm{km}$ or less with future GW observations.
title Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2510.22137