FROM NEUTRON STAR OBSERVABLES to the EQUATION of STATE. I. AN OPTIMAL PARAMETRIZATION

Carolyn A. Raithel, Feryal Özel, Dimitrios Psaltis

Research output: Contribution to journalArticle

38 Scopus citations

Abstract

The increasing number and precision of measurements of neutron star masses, radii, and, in the near future, moments of inertia offer the possibility of precisely determining the neutron star equation of state (EOS). One way to facilitate the mapping of observables to the EOS is through a parametrization of the latter. We present here a generic method for optimizing the parametrization of any physically allowed EOS. We use mock EOS that incorporate physically diverse and extreme behavior to test how well our parametrization reproduces the global properties of the stars, by minimizing the errors in the observables of mass, radius, and the moment of inertia. We find that using piecewise polytropes and sampling the EOS with five fiducial densities between ∼1-8 times the nuclear saturation density results in optimal errors for the smallest number of parameters. Specifically, it recreates the radii of the assumed EOS to within less than 0.5 km for the extreme mock EOS and to within less than 0.12 km for 95% of a sample of 42 proposed, physically motivated EOS. Such a parametrization is also able to reproduce the maximum mass to within 0.04 M? and the moment of inertia of a 1.338 M neutron star to within less than 10% for 95% of the proposed sample of EOS.

Original languageEnglish (US)
Article number44
JournalAstrophysical Journal
Volume831
Issue number1
DOIs
StatePublished - Nov 1 2016

Keywords

  • equation of state
  • stars: interiors
  • stars: neutron

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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