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We study gravito-magnetic instabilities of a static homogeneous medium with an aligned magnetic field in the two contexts of relativistic magnetohydrodynamics (MHD): first, MHD with post-Newtonian (PN) corrections, and second, special…

High Energy Astrophysical Phenomena · Physics 2021-01-13 Hyerim Noh , Jai-chan Hwang

We study the general-relativistic dynamics of matter being accreted onto and ejected by a magnetised and nonrotating neutron star. The dynamics is followed in the framework of fully general relativistic magnetohydrodynamics (GRMHD) within…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Sercan Çıkıntoğlu , K. Yavuz Ekşi , Luciano Rezzolla

In this work we present a proof of concept of CUDA-capable, resistive, multi-fluid models of relativistic magnetohydrodynamics (RMHD). Resistive and multi-fluid codes for simulating models of RMHD suffer from stiff source terms, so it is…

Computational Physics · Physics 2019-01-16 Alex James Wright , Ian Hawke

The observation of gravitational waves from compact binary coalescences is a promising tool to test the validity of general relativity (GR) in a highly dynamical strong-field regime. There are now a variety of tests of GR performed on the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Sakshi Satish Madekar , Nathan K Johnson-McDaniel , Anuradha Gupta , Abhirup Ghosh

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and…

Astrophysics · Physics 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro

The numerical integration of particle trajectories in curved spacetimes is fundamental for obtaining realistic models of the particle dynamics around massive compact objects such as black holes and neutron stars. Generalized algorithms…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Fabio Bacchini , Bart Ripperda , Alexander Yuran Chen , Lorenzo Sironi

We present \texttt{SACRA-2D}, a new MPI and OpenMP parallelized, fully relativistic hydrodynamics (GRHD) code in dynamical spacetime under axial symmetry with the cartoon method using the finite-volume shock-capturing schemes for…

High Energy Astrophysical Phenomena · Physics 2025-02-06 Alan Tsz-Lok Lam , Masaru Shibata

In this paper, an energy-consistent finite difference scheme for the compressible hydrodynamic and magnetohydrodynamic (MHD) equations is introduced. For the compressible magnetohydrodynamics, an energy-consistent finite difference…

Computational Physics · Physics 2021-04-07 Haruhisa Iijima

We present a code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved in generalized harmonic coordinates on one grid using pseudospectral…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Matthew D. Duez , Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Saul A. Teukolsky

We implement advanced Riemann solvers HLLC and HLLD \cite{Mignone:2005ft,MUB:2009} together with an advanced constrained transport scheme \cite{Gardiner:2007nc} in a numerical-relativity neutrino-radiation magnetohydrodynamics code. We…

High Energy Astrophysical Phenomena · Physics 2023-01-11 Kenta Kiuchi , Loren E. Held , Yuichiro Sekiguchi , Masaru Shibata

We present an overview of recent numerical advances in the theoretical characterization of massive binary black hole (MBBH) mergers in astrophysical environments. These systems are among the loudest sources of gravitational waves (GWs) in…

High Energy Astrophysical Phenomena · Physics 2024-01-08 Federico Cattorini , Bruno Giacomazzo

Merging binaries consisting of two neutron stars (NSs) or an NS and a stellar-mass black hole typically form a massive accretion torus around the remnant black hole or long-lived NS. Outflows from these neutrino-cooled accretion disks…

High Energy Astrophysical Phenomena · Physics 2018-06-26 Daniel M. Siegel , Brian D. Metzger

We identify various contributors of systematic effects in the measurement of the neutron star (NS) tidal deformability and quantify their magnitude for several types of neutron star - black hole (NSBH) binaries. Gravitational waves from…

The gravitational waves produced by binary neutron star mergers offer a unique window into matter behavior under extreme conditions. In this context, we model analytically the effect of matter on the gravitational waves from binary neutron…

High Energy Astrophysical Phenomena · Physics 2024-08-06 Alexander O'Dell , Maria C. Babiuc Hamilton

Gravitational waveforms which describe the inspiral, merger and ringdown of coalescing binaries are usually constructed by synthesising information from perturbative descriptions, in particular post-Newtonian theory and black-hole…

General Relativity and Quantum Cosmology · Physics 2015-02-25 Juan Calderón Bustillo , Alejandro Bohé , Sascha Husa , Alicia M. Sintes , Mark Hannam , Michael Pürrer

This paper presents a new computer code to solve the general relativistic magnetohydrodynamics (GRMHD) equations using distributed parallel adaptive mesh refinement (AMR). The fluid equations are solved using a finite difference Convex ENO…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matthew Anderson , Eric Hirschmann , Steven L. Liebling , David Neilsen

Solving the problem of fast eruptive events in magnetically dominated astrophysical plasmas requires the use of particularly well adapted numerical tools. Indeed, the central mechanism based on magnetic reconnection is determined by a…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Hubert Baty

A number of codes for general-relativistic simulations of cosmological structure formation have been developed in recent years. Here we demonstrate that a sample of these codes produce consistent results beyond the Newtonian regime. We…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Julian Adamek , Cristian Barrera-Hinojosa , Marco Bruni , Baojiu Li , Hayley J. Macpherson , James B. Mertens

General-relativistic magnetohydrodynamic (GRMHD) simulations are an important tool to study a variety of astrophysical systems such as neutron star mergers, core-collapse supernovae, and accretion onto compact objects. A conservative GRMHD…

High Energy Astrophysical Phenomena · Physics 2018-06-26 Daniel M. Siegel , Philipp Mösta , Dhruv Desai , Samantha Wu

In this paper, the general procedure to solve the General Relativistic Hydrodynamical(GRH) equations with Adaptive-Mesh Refinement (AMR) is presented. In order to achieve, the GRH equations are written in the conservation form to exploit…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Orhan Donmez