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We solve Einstein's field equations coupled to relativistic hydrodynamics in full 3+1 general relativity to evolve astrophysical systems characterized by strong gravitational fields. We model rotating, collapsing and binary stars by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Matthew D. Duez , Pedro Marronetti , Stuart L. Shapiro , Thomas W. Baumgarte

Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, like binary neutron stars. We test the scheme on…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

Numerical-relativity simulations for the merger of binary neutron stars are performed for a variety of equations of state (EOSs) and for a plausible range of the neutron-star mass, focusing primarily on the properties of the material…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Kenta Hotokezaka , Kenta Kiuchi , Koutarou Kyutoku , Hirotada Okawa , Yu-ichiro Sekiguchi , Masaru Shibata , Keisuke Taniguchi

We present the results of 3D Newtonian SPH simulations of the merger of a neutron star binary. The microscopic properties of matter are described by the physical equation of state of Lattimer and Swesty (LS-EOS). To test for the robustness…

Astrophysics · Physics 2011-08-23 S. Rosswog , M. Liebendoerfer , F. -K. Thielemann , M. B. Davies , W. Benz , T. Piran

We present the results of numerical simulations of the spherically symmetric gravitational collapse of supermassive stars (SMS). The collapse is studied using a general relativistic hydrodynamics code. The coupled system of Einstein and…

Astrophysics · Physics 2009-11-06 Felix Linke , Jose A. Font , Hans-Thomas Janka , E. Mueller , Philippos Papadopoulos

The recent detection of gravitational waves and electromagnetic counterparts emitted during and after the collision of two neutron stars marks a breakthrough in the field of multi-messenger astronomy. Numerical relativity simulations are…

General Relativity and Quantum Cosmology · Physics 2018-03-22 Tim Dietrich , Sebastiano Bernuzzi , Bernd Bruegmann , Wolfgang Tichy

In this work numerical methods for solving Einstein's equations are developed and applied to the study of inhomogeneous cosmological models. A two-dimensional computer code is described which implements two advanced numerical methods:…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Simon D. Hern

We present VULCAN/2D multi-group flux-limited-diffusion radiation hydrodynamics simulations of binary neutron star (BNS) mergers, using the Shen equation of state, covering ~100 ms, and starting from azimuthal-averaged 2D slices obtained…

Astrophysics · Physics 2009-11-13 Luc Dessart , Christian Ott , Adam Burrows , Stefan Rosswog , Eli Livne

Information about the last stages of a binary neutron star inspiral and the final merger can be extracted from quasi-equilibrium configurations and dynamical evolutions. In this article, we construct quasi-equilibrium configurations for…

We have recently presented a new approach for numerical relativity simulations in spherical polar coordinates, both for vacuum and for relativistic hydrodynamics. Our approach is based on a reference-metric formulation of the BSSN…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Thomas W. Baumgarte , Pedro J. Montero , Ewald Müller

Equilibria of binary neutron stars in close circular orbits are computed numerically in a waveless formulation: The full Einstein-relativistic-Euler system is solved on an initial hypersurface to obtain an asymptotically flat form of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

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

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

Numerical relativity is an essential tool for solving Einstein's equations of general relativity for dynamical systems characterized by high velocities and strong gravitational fields. The implementation of new algorithms that can solve…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stuart L. Shapiro

Fast material ejected dynamically over $<10$ ms during the merger of a binary neutron-star (BNS) system can give rise to distinctive electromagnetic counterparts to the system's gravitational-wave emission that can serve as a "smoking gun"…

High Energy Astrophysical Phenomena · Physics 2023-03-23 Luciano Combi , Daniel M. Siegel

We introduce a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. The coupled Einstein field equations and equations of relativistic hydrodynamics are solved in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pedro Marronetti , Stuart L. Shapiro

We study equal and unequal-mass neutron star mergers by means of new numerical relativity simulations in which the general relativistic hydrodynamics solver employs an algorithm that guarantees mass conservation across the refinement levels…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Tim Dietrich , Sebastiano Bernuzzi , Maximiliano Ujevic , Bernd Bruegmann

We present preliminar results and tests of a new general relativistic code to simulate the hydrodynamic collapse of a 21 solar masses star. We have assumed spherical symmetry and used the formalism of Misner and Sharp to construct a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Cristian R. Ghezzi , Patricio S. Letelier

The early post-merger phase of a binary neutron-star coalescence is shaped by characteristic rotational velocities as well as violent density oscillations and offers the possibility to constrain the properties of neutron star matter by…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Michail Chabanov , Luciano Rezzolla

Using our new Post-Newtonian SPH (smoothed particle hydrodynamics) code, we study the final coalescence and merging of neutron star (NS) binaries. We vary the stiffness of the equation of state (EOS) as well as the initial binary mass ratio…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Joshua A. Faber , Frederic A. Rasio , Justin B. Manor