Amortized neural posterior estimation reproduces nested sampling constraints on RMF couplings for neutron-star EOS with no bias and generates 30,000 samples in 2.5 seconds.
Neutron Star Observations: Prognosis for Equation of State Constraints
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abstract
We investigate how current and proposed observations of neutron stars can lead to an understanding of the state of their interiors and the key unknowns: the typical neutron star radius and the neutron star maximum mass. A theoretical analysis of neutron star structure, including general relativistic limits to mass, compactness, and spin rates is made. We consider observations made not only with photons, ranging from radio waves to X-rays, but also those involving neutrinos and gravity waves. We detail how precision determinations of structural properties would lead to significant restrictions on the poorly understood equation of state near and beyond the equilibrium density of nuclear matter.
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Accretion-induced failure of the neutron star crystal crust produces a glass layer that explains the observed cooling, fixes the accreted mass at 2.4e-6 solar masses, and indicates birth properties typical of recycled neutron stars, potentially from electron-capture supernova formation.
Hierarchical Bayesian inference on 20 high-SNR simulated binary neutron star events shows a linear lnΛ-lnQ relation suffices and constrains dynamical Chern-Simons gravity length scale to ≤10 km.
Rotation amplifies differences between the vector MIT bag and DDQM equations of state for quark stars, with MIT supporting more massive stars and a full decomposition of gravitational, internal, rotational, and binding energies provided.
Hybrid neutron-star equations of state remain sensitive to the low-density nucleonic model at transition densities around 2ρ₀, with model spread in radius and tidal deformability exceeding observational uncertainty by factors of ~1.8 and ~1.4.
Higher-order isospin corrections in Skyrme EOSs significantly modify composition-sensitive quantities like proton fraction and chemical potential difference at supra-nuclear densities but leave bulk thermodynamic properties insensitive for most viable models.
Significant X-ray flux blocking in 4U 1746-37 allows the neutron star to have canonical mass and radius values of 1.59 solar masses and 13 km or 2.12 solar masses and 9.8 km.
The Guitar Nebula requires extreme acceleration with η_acc ≳ 3/4 and traverses a dense low-ionization shell from an old supernova remnant in the pressure-driven snowplow regime.
Current and future observations can test whether dark compact objects are Kerr black holes or exotic alternatives, with null results strengthening the black hole paradigm.
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Amortized Simulation-Based Inference of Relativistic Mean-Field Couplings for Neutron-Star Equations of State
Amortized neural posterior estimation reproduces nested sampling constraints on RMF couplings for neutron-star EOS with no bias and generates 30,000 samples in 2.5 seconds.