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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

The theoretical modeling of gravitational waveforms from binary neutron star mergers requires precise numerical relativity simulations. Assessing convergence of the numerical data and building the error budget is currently challenging due…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Sebastiano Bernuzzi , Tim Dietrich

Gravitational wave observations of binary neutron star mergers provide valuable information about neutron star structure and the equation of state of dense nuclear matter. Numerous methods have been proposed to analyze the population of…

High Energy Astrophysical Phenomena · Physics 2022-02-23 Jacob Golomb , Colm Talbot

Binary neutron star mergers are thought to produce hot, rapidly rotating neutron stars with masses that can far exceed their Tolman-Oppenheimer-Volkoff mass. The gravitational-wave emission from such remnants provides a unique opportunity…

High Energy Astrophysical Phenomena · Physics 2026-03-02 Spencer J. Magnall , Nilaksha Barman , Debarati Chatterjee , Paul D. Lasky , Simon Goode

We model two mergers of orbiting binary neutron stars, the first forming a black hole and the second a differentially rotating neutron star. We extract gravitational waveforms in the wave zone. Comparisons to a post-Newtonian analysis allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Anderson , Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Patrick M. Motl , David Neilsen , Carlos Palenzuela , Joel E. Tohline

(Abridged) In this paper we present a compilation of results from our most advanced neutron star merger simulations, including a description of the employed numerical procedures and a more complete overview over a large number of computed…

Astrophysics · Physics 2009-11-06 M. Ruffert , H. -Th. Janka

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

Extending previous work by a number of authors, we have recently presented a new approach in which the detection of gravitational waves from merging neutron star binaries can be used to determine the equation of state of matter at nuclear…

General Relativity and Quantum Cosmology · Physics 2015-03-09 Kentaro Takami , Luciano Rezzolla , Luca Baiotti

Numerical relativity simulations are the only way to calculate exact gravitational waveforms from binary neutron star mergers and to design templates for gravitational-wave astronomy. The accuracy of these numerical calculations is critical…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Georgios Doulis , Florian Atteneder , Sebastiano Bernuzzi , Bernd Brügmann

The equation of state plays a critical role in the physics of the merger of two neutron stars. Recent numerical simulations with microphysical equation of state suggest the outcome of such events depends on the mass of the neutron stars.…

High Energy Astrophysical Phenomena · Physics 2015-06-22 J. Clark , A. Bauswein , L. Cadonati , H. -T. Janka , C. Pankow , N. Stergioulas

Gravitational waveforms from numerical simulations are a critical tool to test and analytically calibrate the waveform models used to study the properties of merging compact objects. In this paper, we present a series of high-accuracy…

Numerical-relativity simulations offer a unique approach to investigating the dynamics of binary neutron star mergers and provide the most accurate predictions of waveforms in the late inspiral phase. However, the numerical predictions are…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Hao-Jui Kuan , Ivan Markin , Maximiliano Ujevic , Tim Dietrich , Kenta Kiuchi , Masaru Shibata , Wolfgang Tichy

We perform binary neutron star merger simulations using a newly derived set of finite-temperature equations of state in the Brueckner-Hartree-Fock approach. We point out the important and opposite roles of finite temperature and rotation…

General Relativity and Quantum Cosmology · Physics 2021-04-21 A. Figura , F. Li , J. -J. Lu , G. F. Burgio , Z. H. Li , H. -J. Schulze

Neutron star mergers are among the most promising sources of gravitational waves for advanced ground-based detectors. These mergers are also expected to power bright electromagnetic signals, in the form of short gamma-ray bursts,…

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 detection of GW170817, together with its electromagnetic counterparts, has proven that binary neutron star mergers are of central importance to the field of nuclear astrophysics, e.g., through a better understanding of the formation of…

High Energy Astrophysical Phenomena · Physics 2025-03-12 Ranjith Mudimadugula , Federico Schianchi , Anna Neuweiler , Thibeau Wouters , Henrique Gieg , Tim Dietrich

In this article, I introduce ideas and techniques to extract information about the equation of state of matter at very high densities from gravitational waves emitted before, during and after the merger of binary neutron stars. I also…

High Energy Astrophysical Phenomena · Physics 2019-09-30 Luca Baiotti

We report the results of a first study that uses numerical simulations to estimate the accuracy with which one can use gravitational wave observations of double neutron star inspiral to measure parameters of the neutron-star equation of…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Jocelyn S. Read , Charalampos Markakis , Masaru Shibata , Koji Uryu , Jolien D. E. Creighton , John L. Friedman

We present results from three-dimensional general relativistic simulations of binary neutron star coalescences and mergers using public codes. We considered equal mass models where the baryon mass of the two Neutron Stars (NS) is…

General Relativity and Quantum Cosmology · Physics 2016-08-09 Francesco Maione , Roberto De Pietri , Alessandra Feo , Frank Löffler

We present initial results of our study of numerical methods for modeling neutron star mergers (NSMs) with simulations that perform the full hydrodynamic evolution required to capture tidal effects, particularly in the last several orbits.…

Astrophysics · Physics 2007-05-23 Alan C. Calder , F. Douglas Swesty , Edward Y. M. Wang