Inverse Structure Problem for Neutron-Star Binaries

Lee Lindblom

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Inverse Structure Problem for Neutron-Star Binaries

Lee Lindblom

High Energy Astrophysical Phenomena · Submitted 6 Jul 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This paper demonstrates that high accuracy measurements of these quantities from an ensemble of binary systems can in principle be used to determine the high density neutron-star equation of state exactly.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,014 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.81 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.05 · mentions code or data availability 0.02.

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Gravitational wave detectors in the LIGO/Virgo frequency band are able to measure the individual masses and the composite tidal deformabilities of neutron-star binary systems. This paper demonstrates that high accuracy measurements of these quantities from an ensemble of binary systems can in principle be used to determine the high density neutron-star equation of state exactly. This analysis assumes that all neutron stars have the same thermodynamically stable equation of state, but does not use simplifying approximations for the composite tidal deformability or make additional assumptions about the high density equation of state.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Gravitational wave detectors in the LIGO/Virgo frequency band are able to measure the individual masses and the composite tidal deformabilities of neutron-star binary systems.	background 1.00	0.08	0.02	asserted 0.84
s1	This paper demonstrates that high accuracy measurements of these quantities from an ensemble of binary systems can in principle be used to determine the high density neutron-star equation of state exactly.	result 0.68	0.88	0.94	asserted 0.81
s2	This analysis assumes that all neutron stars have the same thermodynamically stable equation of state, but does not use simplifying approximations for the composite tidal deformability or make additional assumptions about the high density equation of state.	limitation 0.57	0.62	0.06	asserted 0.97

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.94.

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arXiv listing abstract v2

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The paper

Original abstract

Gravitational wave detectors in the LIGO/Virgo frequency band are able to measure the individual masses and the composite tidal deformabilities of neutron-star binary systems. This paper demonstrates that high accuracy measurements of these quantities from an ensemble of binary systems can in principle be used to determine the high density neutron-star equation of state exactly. This analysis assumes that all neutron stars have the same thermodynamically stable equation of state, but does not use simplifying approximations for the composite tidal deformability or make additional assumptions about the high density equation of state.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Neutron star tidal deformability and equation of state constraints
gr-qc 2020-06 accept novelty 2.0 of 10

The tidal deformability extracted from neutron star mergers, chiefly GW170817, gives an independent handle on neutron star radii and hence on the equation of state of dense matter.
Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
astro-ph.HE 2019-07 accept novelty 2.0 of 10

A review arguing that gravitational-wave observations of neutron-star mergers, especially GW170817, already constrain the supranuclear equation of state, favoring a relatively soft equation of state and excluding seve...

How the literature uses it

5 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 3 papers

A lot of work has also been done in a series of papers by Lindblom [ref] , who studied the inverse problem for the stellar structure of neutron stars.

On the Inverse Spectrum Problem of Neutron Stars · Introduction · 0.91
Thus, astrophysical and gravitational wave measurements of these observables can be exploited to constrain the EoS, solving the so-called inverse stellar problem [ref] .

Constraining the neutron star equation of state using multi-band independent measurements of radii and tidal deformabilities · Introduction · 0.95
In contrast to the above parametrizations that employ polytropes to some extent, a “spectral parametrization" [ref] expresses the adiabatic index $Γ$ of the equation of state (rather than the pressure itself) in terms of free parameters.

Neutron star tidal deformability and equation of state constraints · Generic equation of state representations · 0.83

What it cites · 2 sentences without a confident label

Uses data or values from 1 paper

The observation of gravitational waves from a neutron-star binary, GW170817, provides the first (and at present only) observation of $M_1$, $M_2$ and $Λ̃$ for a binary system [ref] .

Properties of the binary neutron star merger GW170817 · Introduction · 0.81

Compares with 3 papers

In contrast, the recent analyses in Refs. [ref] attempt to determine four equation of state parameters using Bayesian statistical methods from the observation of the single neutron-star binary GW170817.

Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817 · Discussion · 0.86
In contrast, the recent analyses in Refs. [ref] attempt to determine four equation of state parameters using Bayesian statistical methods from the observation of the single neutron-star binary GW170817.

Comparing two models for measuring the neutron star equation of state from gravitational-wave signals · Discussion · 0.86
In contrast, the recent analyses in Refs. [ref] attempt to determine four equation of state parameters using Bayesian statistical methods from the observation of the single neutron-star binary GW170817.

GW170817: Measurements of Neutron Star Radii and Equation of State · Discussion · 0.86

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