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We discuss (3+1) dimensional general relativistic hydrodynamic simulations of close neutron star binary systems. The relativistic field equations are solved at each time slice with a spatial 3-metric chosen to be conformally flat. Against…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. J. Mathews , P. Marronetti , J. R. Wilson

We solve Einstein's equations for slowly-rotating gravitational condensate stars (gravastars) up to second order in the rotation by expanding about the spherically symmetric gravastar with de Sitter interior and Schwarzschild exterior…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Philip Beltracchi , Paolo Gondolo , Emil Mottola

We present the first direct comparison of numerical simulations of neutron star-black hole and black hole-black hole mergers in full general relativity. We focus on a configuration with non spinning objects and within the most likely range…

We review the current status of general relativistic studies for coalescences of black hole--neutron star binaries. First, high-precision computations of black hole--neutron star binaries in quasiequilibrium circular orbits are summarized,…

High Energy Astrophysical Phenomena · Physics 2021-12-21 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

We discuss the stability and construct dynamical configurations describing the gravitational collapse of unstable neutron stars with realistic equations of state compatible with the recent LIGO-Virgo constraints. Unlike other works that…

General Relativity and Quantum Cosmology · Physics 2020-06-17 J. M. Z. Pretel , M. F. A. da Silva

We perform three-dimensional, Newtonian hydrodynamic simulations with a nuclear equation of state to investigate the accretion dynamics in neutron star black hole systems. We find as a general result that non-spinning donor stars yield…

Astrophysics · Physics 2009-11-10 S. Rosswog , R. Speith , G. A. Wynn

We investigate the dynamic stability of inspiraling neutron stars by performing multiple-orbit numerical relativity simulations of the binary neutron star inspiral process. By introducing eccentricities in the orbits of the neutron stars,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Miller

We numerically calculate equilibrium configurations of uniformly rotating and charged neutron stars, in the case of insulating material and neglecting the electromagnetic forces acting on the equilibrium of the fluid. This allows us to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerome Novak , Emmanuel Marcq

We have developed a highly accurate numerical code capable of solving the coupled Einstein-Klein-Gordon system, in order to construct rotating boson stars in general relativity. Free fields and self-interacting fields, with quartic and…

General Relativity and Quantum Cosmology · Physics 2014-08-29 Philippe Grandclement , Claire Somé , Eric Gourgoulhon

We consider stationary axisymmetric solutions of the Euler-Poisson equations, which govern the internal structure of barotropic gaseous stars. We take the general form of the equation of states which cover polytropic gaseous stars indexed…

Analysis of PDEs · Mathematics 2019-01-25 Juhi Jang , Tetu Makino

We develop a method to compute low-eccentricity initial data of binary neutron stars required to perform realistic simulations in numerical relativity. The orbital eccentricity is controlled by adjusting the orbital angular velocity of a…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

A new method is described for constructing initial data for a binary neutron-star (BNS) system in quasi-equilibrium circular orbit. Two formulations for non-conformally flat data, waveless (WL) and near-zone helically symmetric (NHS), are…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán

We introduce a new method for numerically evolving the full Einstein field equations in situations where the spacetime is dominated by a known background solution. The technique leverages the knowledge of the background solution to subtract…

General Relativity and Quantum Cosmology · Physics 2013-05-20 William E. East , Frans Pretorius

In our previous treatment of neutron stars, we have developed the model fulfilling global and not local charge neutrality. In order to implement such a model, we have shown the essential role by the Thomas-Fermi equations, duly generalized…

Solar and Stellar Astrophysics · Physics 2014-11-13 R. Belvedere , K. Boshkayev , Jorge A. Rueda , R. Ruffini

We compute families of spherically symmetric neutron-star models in two-derivative scalar-tensor theories of gravity with a massive scalar field. The numerical approach we present allows us to compute the resulting spacetimes out to…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Roxana Rosca-Mead , Christopher J. Moore , Ulrich Sperhake , Michalis Agathos , Davide Gerosa

We analytically calculate the equilibrium sequence of the corotating binary stars of incompressible fluid in the first post-Newtonian(PN) approximation of general relativity. By calculating the total energy and total angular momentum of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Keisuke Taniguchi , Masaru Shibata

Within general relativity, black holes are widely regarded as the ultimate benchmark for compactness in the Universe. Recently, however, neutron star models have been constructed in a higher-curvature theory -- quasi-topological gravity…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Liang Liang , Zhe Luo , Shoulong Li , Hongwei Yu

Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

We review the problem of describing the gravitational field of compact stars in general relativity. We focus on the deviations from spherical symmetry which are expected to be due to rotation and to the natural deformations of mass…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Hernando Quevedo