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The existence of a two-solar mass neutron star constrains the gravitational constant G_N at strong field
General Relativity and Quantum Cosmology · Submitted 28 Jul 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The discovery of a two-solar mass neutron star, near that maximum mass, when analyzed with modern equations of state, implies that Newton's gravitational constant in the star cannot exceed its value on Earth by more than 8% at 95% confidence level.
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The abstract, sentence by sentence
In General Relativity there is a maximum mass allowed for neutron stars that, if exceeded, entails their collapse into a black hole. Its precise value depends on details of the nuclear matter equation of state about which we are much more certain thanks to recent progress in low-energy effective theories. The discovery of a two-solar mass neutron star, near that maximum mass, when analyzed with modern equations of state, implies that Newton's gravitational constant in the star cannot exceed its value on Earth by more than 8% at 95% confidence level. This is a remarkable leap of ten orders of magnitude in the gravitational field intensity at which the constant has been constrained.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In General Relativity there is a maximum mass allowed for neutron stars that, if exceeded, entails their collapse into a black hole. | background 1.00 | 0.05 | 0.03 | asserted 1.00 |
| s1 | Its precise value depends on details of the nuclear matter equation of state about which we are much more certain thanks to recent progress in low-energy effective theories. | background 0.98 | 0.06 | 0.02 | asserted 0.99 |
| s2 | The discovery of a two-solar mass neutron star, near that maximum mass, when analyzed with modern equations of state, implies that Newton's gravitational constant in the star cannot exceed its value on Earth by more than 8% at 95% confidence level. | result 0.98 | 0.74 | 0.95 | asserted 0.83 |
| s3 | This is a remarkable leap of ten orders of magnitude in the gravitational field intensity at which the constant has been constrained. | interpretation 0.99 | 0.72 | 0.08 | asserted 1.00 |
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The paper
Original abstract
In General Relativity there is a maximum mass allowed for neutron stars that, if exceeded, entails their collapse into a black hole. Its precise value depends on details of the nuclear matter equation of state about which we are much more certain thanks to recent progress in low-energy effective theories. The discovery of a two-solar mass neutron star, near that maximum mass, when analyzed with modern equations of state, implies that Newton's gravitational constant in the star cannot exceed its value on Earth by more than 8% at 95% confidence level. This is a remarkable leap of ten orders of magnitude in the gravitational field intensity at which the constant has been constrained.
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How the literature uses it
7 arXiv papers cite this in 10 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 1 paper
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A good illustration is the pure perturbative calculations done in Ref. [ref] , see also Refs. [ref] , and nonperturbative ones were undertaken in Refs. [ref] .
Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes · Summary of the in-medium many-body formalism of Ref. CITEMARK19Z · 0.96
What it cites · 19 sentences without a confident label
Compares with 2 papers
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Further, we show an independent computation of the equation of state at low energy densities that is in good agreement [ref] with our own computation.
Constraints on neutron star radii based on chiral effective field theory interactions · Introduction · 0.99
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It should be noted that, while obtained with sophisticated modern effective field theory treatments, the equation of state is in broad agreement with vintage nuclear theory treatments based on phenomenological potentials [ref] .
The equation of state for nucleon matter and neutron star structure · Introduction · 0.96
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