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We determine an empirical dense matter equation of state from a heterogeneous dataset of six neutron stars: three type I X-ray bursters with photospheric radius expansion, studied by Ozel et al., and three transient low-mass X-ray binaries.…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Andrew W. Steiner , James M. Lattimer , Edward F. Brown

In this paper Einstein's field equations, for static spherically symmetric perfect fluid models with a linear barotropic equation of state, are recast into a 3-dimensional regular system of ordinary differential equations on a compact state…

General Relativity and Quantum Cosmology · Physics 2009-10-31 U. S. Nilsson , C. Uggla

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sebastian H. Völkel , Christian J. Krüger , Kostas D. Kokkotas

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 T. Harko , M. K. Mak

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 review the current status and recent progress of microscopic many-body approaches and phenomenological models, which are employed to construct the equation of state of neutron stars. The equation of state is relevant for the description…

Nuclear Theory · Physics 2021-10-20 G. F. Burgio , I. Vidana , H. -J. Schulze , J. -B. Wei

Neutron stars and supernovae provide cosmic laboratories of highly compressed matter at supra nuclear saturation density which is beyond the reach of terrestrial experiments. The properties of dense matter is extracted by combining the…

Nuclear Theory · Physics 2023-05-02 Kohsuke Sumiyoshi , Toru Kojo , Shun Furusawa

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

While QCD appears not to be accurately solvable in the regime of interest for neutron star physics, microscopic calculations are feasible at both low and very high densities. In this work, we propose using the most realistic calculations in…

High Energy Astrophysical Phenomena · Physics 2010-06-22 Aleksi Kurkela , Paul Romatschke , Aleksi Vuorinen , Bin Wu

Motivated by a recent astrophysical measurement of the pressure of cold matter above nuclear-matter saturation density, we compute the equation of state of neutron star matter using accurately calibrated relativistic models. The uniform…

Nuclear Theory · Physics 2014-11-20 F. J. Fattoyev , J. Piekarewicz

The LIGO/Virgo collaboration has recently announced the direct detection of gravitational waves emitted in the coalescence of a neutron star binary. This discovery allows, for the first time, to set new constraints on the behavior of matter…

General Relativity and Quantum Cosmology · Physics 2018-04-17 Tiziano Abdelsalhin , Andrea Maselli , Valeria Ferrari

The densest state of matter in the universe is uniquely realized inside central cores of the neutron star. While first-principles evaluation of the equation of state of such matter remains as one of the longstanding problems in nuclear…

Nuclear Theory · Physics 2020-03-18 Yuki Fujimoto , Kenji Fukushima , Koichi Murase

It is currently unknown how matter behaves at the extreme densities found within the cores of neutron stars. Measurements of the neutron star equation of state probe nuclear physics that is otherwise inaccessible in a laboratory setting.…

High Energy Astrophysical Phenomena · Physics 2026-03-03 Kris Walker , Rory Smith , Eric Thrane , Daniel J. Reardon

Neutron stars provide a unique opportunity to study strongly interacting matter under extreme density conditions. The intricacies of matter inside neutron stars and their equation of state are not directly visible, but determine bulk…

High Energy Astrophysical Phenomena · Physics 2024-09-04 Len Brandes , Chirag Modi , Aishik Ghosh , Delaney Farrell , Lee Lindblom , Lukas Heinrich , Andrew W. Steiner , Fridolin Weber , Daniel Whiteson

The prediction of the equation of state of hot, dense nuclear matter is one of the most complicated and interesting problems in nuclear astrophysics. At the same time, knowledge of it is the basic ingredient for some of the most interesting…

High Energy Astrophysical Phenomena · Physics 2021-05-12 P. S. Koliogiannis , Ch. C. Moustakidis

The masses and radii of neutron stars are discussed in general relativity and scalar-tensor theory of gravity and the differences are compared with the current uncertainties stemming from the nuclear equation of state in the relativistic…

General Relativity and Quantum Cosmology · Physics 2019-07-16 F. J. Fattoyev

We present a pipeline to infer the equation of state of neutron stars from observations based on deep neural networks. In particular, using the standard (deterministic), as well as Bayesian (probabilistic) deep networks, we explore how one…

High Energy Astrophysical Phenomena · Physics 2025-02-03 Giulia Ventagli , Ippocratis D. Saltas

We study the solution space of general relativistic, axisymmetric, equilibria of differentially rotating neutron stars with realistic, nuclear equations of state. We find that different types of stars, which were identified by earlier works…

High Energy Astrophysical Phenomena · Physics 2019-05-08 Pedro Espino , Vasileios Paschalidis

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

Determining the equation of state of matter at nuclear density and hence the structure of neutron stars has been a riddle for decades. We show how the imminent detection of gravitational waves from merging neutron star binaries can be used…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Kentaro Takami , Luciano Rezzolla , Luca Baiotti