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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

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

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

We introduce a parameterized high-density equation of state (EOS) in order to systematize the study of constraints placed by astrophysical observations on the nature of neutron-star matter. To obtain useful constraints, the number of…

Astrophysics · Physics 2009-07-09 Jocelyn S. Read , Benjamin D. Lackey , Benjamin J. Owen , John L. Friedman

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

We explore constraints on the equation of state (EOS) of neutron-rich matter based on microscopic calculations up to nuclear densities and observations of neutron stars. In a previous work we showed that predictions based on modern nuclear…

High Energy Astrophysical Phenomena · Physics 2020-10-08 S. K. Greif , K. Hebeler , J. M. Lattimer , C. J. Pethick , A. Schwenk

The general behavior of the nuclear equation of state (EOS), relevant for the description of neutron stars (NS), is studied within a Bayesian approach applied to a set of models based on a density dependent relativistic mean field…

Nuclear Theory · Physics 2022-05-02 Tuhin Malik , Márcio Ferreira , B. K. Agrawal , Constança Providência

The parametrized equation of state (EOS) of neutron stars is investigated by Bayesian inference method with various constraints from both nuclear physics and modern astronomical observations. The expansion coefficients correspond to the…

Nuclear Theory · Physics 2025-09-04 Xieyuan Dong , Hong Shen , Jinniu Hu , Ying Zhang

In this paper we present a new approach to the inverse problem for relativistic stars using the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and refinement method that…

General Relativity and Quantum Cosmology · Physics 2019-03-22 Juan Mena-Fernández , Luis Manuel González-Romero

We sketch an algorithm to generate exact anisotropic solutions starting from a barotropic EoS and setting an ansatz on the metric functions. To illustrate the method, we use a generalization of the polytropic equation of state consisting of…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Héctor Hernández , Daniel Suárez-Urango , Luis A. Núñez

We describe two fitting schemes that aim to represent the high-density part of realistic equations of state for numerical simulations such as neutron star oscillations. The low-density part of the equation of state is represented by an…

High Energy Astrophysical Phenomena · Physics 2024-05-20 Gaël Servignat , Philip J. Davis , Jérôme Novak , Micaela Oertel , José A. Pons

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

The dense-matter equation of state (EOS) under neutron-star conditions is investigated. We focus on the qualitative behavior of the speed of sound and its average. We characterize and compare the theoretical criteria for identifying nearly…

Nuclear Theory · Physics 2025-04-07 Michał Marczenko

The increasing richness of data related to cold dense matter, from laboratory experiments to neutron-star observations, requires a framework for constraining the properties of such matter that makes use of all relevant information. Here, we…

High Energy Astrophysical Phenomena · Physics 2020-01-08 M. Coleman Miller , Cecilia Chirenti , Frederick K. Lamb

In this paper we present a new approach to the inverse problem for relativistic stars using quasinormal modes and the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and…

General Relativity and Quantum Cosmology · Physics 2019-05-10 Juan Mena-Fernández , Luis Manuel González-Romero

Measurements of neutron star masses, radii, and tidal deformability have direct connections to nuclear physics via the equation of state (EoS), which for the cold, catalyzed matter in neutron star cores is commonly represented as the…

High Energy Astrophysical Phenomena · Physics 2023-11-07 Debora Mroczek , M. Coleman Miller , Jacquelyn Noronha-Hostler , Nicolas Yunes

We propose a new equation of state for nuclear matter based on a generalized Skyrme model which is consistent with all current constraints on the observed properties of neutron stars. This generalized model depends only on two free…

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

The profile of a neutron star probes a very large range of densities, from the density of iron up to several times the density of saturated nuclear matter, and thus no theory of hadrons can be considered reliable if extended to those…

Nuclear Theory · Physics 2025-05-20 Francesca Sammarruca , Tomiwa Ajagbonna
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