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Spectral representations have been shown to provide an efficient way to represent the poorly understood high-density portion of the neutron-star equation of state. This paper shows how the efficiency and accuracy of those representations…

High Energy Astrophysical Phenomena · Physics 2022-04-13 Lee Lindblom

Parameterized representations of the equation of state play an important role in efforts to measure the properties of the matter in the cores of neutron stars using astronomical observations. New representations are presented here that are…

High Energy Astrophysical Phenomena · Physics 2018-07-04 Lee Lindblom

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

This paper explores the use of low-dimensional parametric representations of neutron-star equations of state that include discontinuities caused by phase transitions. The accuracies of optimal piecewise-analytic and spectral representations…

High Energy Astrophysical Phenomena · Physics 2024-07-24 Lee Lindblom

Causal parametric representations of neutron-star equations of state are constructed here using Chebyshev polynomial based spectral expansions. The accuracies of these representations are evaluated for a collection of model equations of…

Nuclear Theory · Physics 2024-10-01 Lee Lindblom , Tianji Zhou

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

A new method for solving the relativistic inverse stellar structure problem is presented. This method determines a spectral representation of the unknown high density portion of the stellar equation of state from a knowledge of the total…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Lee Lindblom , Nathaniel M. Indik

The hadronic equation of state for a neutron star is discussed with a particular emphasis on the symmetry energy. The results of several microscopic approaches are compared and also a new calculation in terms of the self-consistent Green…

Nuclear Theory · Physics 2007-05-23 A. E. L. Dieperink , D. Van Neck , Y. Dewulf , V. Rodin

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

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

Models of neutron stars are considered in the case of a uniform density distribution. An algebraic equation, valid for any equation of state, is obtained. This equation allows one to find the approximate mass of a star of a given density…

High Energy Astrophysical Phenomena · Physics 2023-11-14 G. S. Bisnovatyi-Kogan , E. A. Patraman

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 study the properties of neutron stars adopting relativistic equations of state of neutron star matter, calculated in the framework of the relativistic Brueckner-Hartree-Fock approximation for electrically charge neutral neutron star…

Nuclear Theory · Physics 2009-10-30 H. Huber , F. Weber , M. K. Weigel , Ch. Schaab

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

A microscopic nuclear equation of state compatible with all current astrophysical constraints constructed within the Brueckner-Hartree-Fock formalism is presented and extended in a consistent way to finite temperature. The effects of finite…

Nuclear Theory · Physics 2022-08-17 Hong-Ming Liu , Jing Zhang , Zeng-Hua Li , Jin-Biao Wei , G. F. Burgio , H. -J. Schulze

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

The theory of the nuclear energy-density functional is used to provide a unified and thermodynamically consistent treatment of all regions of cold non-accreting neutron stars. In order to assess the impact of our lack of complete knowledge…

High Energy Astrophysical Phenomena · Physics 2020-01-28 J. M. Pearson , N. Chamel , A. Y. Potekhin , A. F. Fantina , C. Ducoin , A. K. Dutta , S. Goriely

The inverse stellar structure problem determines the equation of state of the matter in stars from a knowledge of their macroscopic observables (e.g. their masses and radii). This problem was solved in a previous paper by constructing a…

High Energy Astrophysical Phenomena · Physics 2016-05-10 Lee Lindblom , Nathaniel M. Indik

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

The past years have witnessed tremendous progress in understanding the properties of neutron stars and of the dense matter in their cores, made possible by electromagnetic observations of neutron stars and the detection of gravitational…

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