Universal relations for fast rotating neutron stars without parametrisation bias

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ID: 324723
2026
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Abstract
Abstract We provide a summary of several parametrisations for the nuclear equation of state that have been proposed over the past decades and list viable ranges for their parameters. Based on these parametrisations, we construct a large database of rotating neutron star models using the rns code, which are arranged in sequences of constant central energy density. After filtering these sequences with respect to generous astrophysical constraints, we discover tight universal relations for various bulk quantities of uniformly rotating neutron stars of arbitrary rotation rates. These universal relations allow bulk quantities of uniformly rotating neutron stars to be estimated at minimal computational cost, approximately three orders of magnitude faster than solving the full stellar equilibrium equations, employing only mass, radius, and moment of inertia of associated non-rotating neutron stars. Calibrated on a large, model-agnostic dataset, the relations are robust and remain accurate when tested against realistic equations of state and outperform previously published ones. For most quantities the 99th percentile of the relative residuals lies below 1.6%; the moment of inertia (2.8%) and T/W (4.6%) carry the largest uncertainties. Such relations are important for future, high-precision measurements coming from electromagnetic and gravitational wave observations and may be used in equation of state inference codes or gravitational wave modeling among others.
Reference Key
openalex_W7202259929 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors C. Krüger, Mariachiara Celato
Journal monthly notices of the royal astronomical society
Year 2026
DOI
10.1093/mnras/stag1522
URL
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