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We present the derivation of hydrodynamical equations for a perfect fluid in General Relativity, within the 3+1 decomposition of spacetime framework, using only primitive variables. Primitive variables are opposed to conserved variables, as…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Gaël Servignat , Jerome Novak , Isabel Cordero-Carrión

The astrophysics of compact objects, which requires Einstein's theory of general relativity for understanding phenomena such as black holes and neutron stars, is attracting increasing attention. In general relativity, gravity is governed by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel , Wai-Mo Suen

Almost a hundred compact binary mergers have been detected via gravitational waves by the LIGO-Virgo-KAGRA collaboration in the past few years providing us with a significant amount of new information on black holes and neutron stars. In…

High Energy Astrophysical Phenomena · Physics 2023-12-12 Kutay A. Çokluk , Kadri Yakut , Bruno Giacomazzo

The dynamics of self-gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations. The break-down of well-posedness on the fluid-vacuum interface remains a challenging open problem, which is…

General Relativity and Quantum Cosmology · Physics 2020-07-17 John Ryan Westernacher-Schneider , Charalampos Markakis , Bing Jyun Tsao

We present numerical-relativity simulations of spherically symmetric core collapse and compact-object formation in scalar-tensor theories of gravity. The additional scalar degree of freedom introduces a propagating monopole…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Davide Gerosa , Ulrich Sperhake , Christian D. Ott

We present a new general relativistic (GR) code for hydrodynamic supernova simulations with neutrino transport in spherical and azimuthal symmetry (1D/2D). The code is a combination of the CoCoNuT hydro module, which is a Riemann-solver…

Solar and Stellar Astrophysics · Physics 2015-05-18 B. Mueller , H. -Th. Janka , H. Dimmelmeier

We present a new 3D SPH code which solves the general relativistic field + hydrodynamics equations in the conformally flat approximation. Several test cases are considered to test different aspects of the code. We finally apply then the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roland Oechslin , Stephan Rosswog , Friederich-Karl Thielemann

We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, Agile-Boltztran, solves the Boltzmann transport equation for the angular and spectral neutrino…

This paper describes a multidimensional hydrodynamic code which can be used for the studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Orhan Donmez , Refik Kayali

With the aim of clarifying the nature of the core-collapse supernova events, we have developed a specifically tailored relativistic, radiation-hydrodynamics Lagrangian code, that enables us to simulate the evolution of the main observables…

Solar and Stellar Astrophysics · Physics 2011-09-09 M. L. Pumo , L. Zampieri

We present numerical hydrodynamical evolutions of rapidly rotating relativistic stars, using an axisymmetric, nonlinear relativistic hydrodynamics code. We use four different high-resolution shock-capturing (HRSC) finite-difference schemes…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jose A. Font , Nikolaos Stergioulas , Kostas D. Kokkotas

By means of HARM\_COOL\_EOS, which is our code for conservative relativistic magnetohydrodynamics, we developed a new scheme for the simulation of a system formed after compact binary merger. Our code works with a tabulated equation of…

High Energy Astrophysical Phenomena · Physics 2024-01-18 Agnieszka Janiuk , Gerardo Urrutia

We present the generalization of a recently introduced modified gravitational potential for self-gravitating fluids. The use of this potential allows for an accurate approximation of general relativistic effects in an otherwise Newtonian…

Astrophysics · Physics 2009-11-13 Bernhard Mueller , Harald Dimmelmeier , Ewald Mueller

One of the most promising sources of gravitational radiation is coalescence of binary neutron stars or black holes. In order to study gravitational radiation at the merging phase of coalescing binary neutron stars which is called the last…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Takashi Nakamura , Ken-ichi Oohara

Numerical schemes for the general relativistic hydrodynamic equations are discussed. The use of conservative algorithms based upon the characteristic structure of those equations, developed during the last decade building on ideas first…

Astrophysics · Physics 2016-08-30 Jose A. Font

We report on our numerical implementation of fully relativistic hydrodynamics coupled to Einstein's field equations in three spatial dimensions. We briefly review several steps in our code development, including our recasting of Einstein's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. W. Baumgarte , S. A. Hughes , L. Rezzolla , S. L. Shapiro , M. Shibata

A weakly magnetized neutron star (NS) undergoing disk accretion should release about a half of its power in a compact region known as the accretion boundary layer. Latitudinal spread of the accreted matter and efficient radiative cooling…

High Energy Astrophysical Phenomena · Physics 2025-05-08 Aleksandr Rusakov , Pavel Abolmasov , Omer Bromberg

We report on the development of a test-particle based kinetic Monte Carlo code for large systems and its application to simulate matter in the continuum regime. Our code combines advantages of the Direct Simulation Monte Carlo and the…

Fluid Dynamics · Physics 2014-07-31 Irina Sagert , Wolfgang Bauer , Dirk Colbry , Rodney Pickett , Terrance Strother

(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

We have developed a relativistic, radiation-hydrodynamics Lagrangian code, specifically tailored to simulate the evolution of the main observables (light curve, evolution of photospheric velocity and temperature) in core-collapse supernova…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. L. Pumo , L. Zampieri