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High-accuracy numerical simulations of merging neutron stars play an important role in testing and calibrating the waveform models used by gravitational wave observatories. Obtaining high-accuracy waveforms at a reasonable computational…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Francois Foucart , Matthew D. Duez , Alana Gudinas , Francois Hebert , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

We present a generalized piecewise polytropic parameterization for the neutron-star equation of state using an ansatz that imposes continuity in not only pressure and energy density, but also in the speed of sound. The universe of candidate…

High Energy Astrophysical Phenomena · Physics 2020-11-04 Michael F. O'Boyle , Charalampos Markakis , Nikolaos Stergioulas , Jocelyn S. Read

Equations of state for a cold neutron star's interior are presented in three-column tables that relate the baryonic density, the energy density, and the pressure. A few analytical expressions for those tables have been established these…

Nuclear Theory · Physics 2022-10-05 Lami Suleiman , Morgane Fortin , Julian-Leszek Zdunik , Constanca Providencia

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. One way to facilitate the…

High Energy Astrophysical Phenomena · Physics 2016-12-14 Carolyn A. Raithel , Feryal Özel , Dimitrios Psaltis

Methods are developed for constructing spectral representations of cold (barotropic) neutron-star equations of state. These representations are faithful in the sense that every physical equation of state has a representation of this type,…

High Energy Astrophysical Phenomena · Physics 2010-12-23 Lee Lindblom

Understanding the dense matter equation of state at extreme conditions is an important open problem. Astrophysical observations of neutron stars promise to solve this, with NICER poised to make precision measurements of mass and radius for…

High Energy Astrophysical Phenomena · Physics 2019-03-20 S. K. Greif , G. Raaijmakers , K. Hebeler , A. Schwenk , A. L. Watts

We present a unified description of dense matter and neutron-star structure based on simple but physically motivated models. Starting from the thermodynamics of degenerate Fermi gases, we construct an equation of state for cold, catalyzed…

Nuclear Theory · Physics 2026-01-28 Elissaios Andronopoulos , Konstantinos N. Gourgouliatos

The equation of state is fundamental in describing matter under the extreme conditions characteristic of neutron stars and is central to advancing our understanding of dense matter physics. A critical challenge, however, lies in accurately…

High Energy Astrophysical Phenomena · Physics 2025-01-14 Anshuman Verma , Asim Kumar Saha , Ritam Mallick

We introduce a parametrized density-dependent speed of sound and construct an ensemble of equations of state for neutron stars which are found to closely resemble the realistic equations of state calculated using relativistic mean field…

Nuclear Theory · Physics 2025-07-04 Suman Pal , Gargi Chaudhuri

Astrophysical observations from NICER and gravitational wave data constrain the properties of matter at the cores of neutron stars, enabling us to probe high-density matter with greater accuracy. To understand its implications for neutron…

High Energy Astrophysical Phenomena · Physics 2026-02-13 Asim Kumar Saha , Tuhin Malik , Ritam Mallick

Numerical simulations of neutron star mergers represent an essential step toward interpreting the full complexity of multimessenger observations and constraining the properties of supranuclear matter. Currently, simulations are limited by…

High Energy Astrophysical Phenomena · Physics 2023-08-08 Isaac Legred , Yoonsoo Kim , Nils Deppe , Katerina Chatziioannou , Francois Foucart , François Hébert , Lawrence E. Kidder

When the chemical re-equilibration timescale is sufficiently long, the normal and quasi-normal mode frequencies of neutron stars should be calculated in the idealized limit that the internal composition of each fluid element is fixed over…

Nuclear Theory · Physics 2025-02-27 Gabriele Montefusco , Marco Antonelli , Francesca Gulminelli

We explore the possible mass radius relation of compact stars for the equation of states with a first order phase transition. The low density matter is described by a nuclear matter equation of state resulting from fits to nuclear…

High Energy Astrophysical Phenomena · Physics 2018-04-04 Jan-Erik Christian , Andreas Zacchi , Jürgen Schaffner-Bielich

We propose a non-parametric approach to construct the statistical equation of state (EOS) continuously from the nuclear crust to the asymptotic-freedom regime. Driven by the observationally required stiffening to support two-solar-mass…

High Energy Astrophysical Phenomena · Physics 2026-05-12 Yong-Jia Huang , Shao-Peng Tang , Yi-Zhong Fan

We present new equations of state for applications in core-collapse supernova and neutron star merger simulations. We start by introducing an effective mass parametrization that is fit to recent microscopic calculations up to twice…

Nuclear Theory · Physics 2021-02-15 S. Huth , C. Wellenhofer , A. Schwenk

We utilise the phenomenologically parameterized piecewise polytropic equations of state to study various neutron star properties. We investigate the compliance of these equations of state with several astronomical observations. We also…

Nuclear Theory · Physics 2022-05-04 Jaikhomba Singha , S. Mullai Vaneshwar , Ankit Kumar

Nuclear metamodels - phenomenological parametrizations of the energy of nuclear matter - are convenient tools to explore the space of realistic neutron star configurations constrained by astrophysical and nuclear data. While much recent…

Nuclear Theory · Physics 2026-04-02 Gabriele Montefusco , Marco Antonelli , Francesca Gulminelli

The upper bound of the speed of sound in dense nuclear matter is one of the most interesting but still unsolved problems in Nuclear Physics. Theoretical studies in connection with recent observational data of isolated neutron stars as well…

Nuclear Theory · Physics 2021-01-27 A. Kanakis-Pegios , P. S. Koliogiannis , Ch. C. Moustakidis

Parametric representations of the high-density nuclear equation of state are used in constructing models for interpreting the astrophysical observations of neutron stars. This study explores how accurately equations of state with strong…

Nuclear Theory · Physics 2025-06-09 Lee Lindblom , Steve M. Lewis , Fridolin Weber

We conduct a direct comparison of three different representative numerical codes for constructing models of rapidly rotating neutron stars in general relativity. Our aim is to evaluate the accuracy of the codes and to investigate how the…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Tetsuo Nozawa , Nikolaos Stergioulas , Eric Gourgoulhon , Yoshiharu Eriguchi
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