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Cauchy-characteristic matching (CCM) is a numerical-relativity technique that solves Einstein's equations on an effectively infinite computational domain, thereby eliminating systematic errors associated with artificial boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Sizheng Ma , Mark A. Scheel , Jordan Moxon , Kyle C. Nelli , Nils Deppe , Lawrence E. Kidder , William Throwe , Nils L. Vu

Mergers of neutron stars (NSs) and black holes (BHs) are nowadays observed routinely thanks to gravitational-wave (GW) astronomy. In the isolated binary-evolution channel, a common-envelope (CE) phase of a red supergiant (RSG) and a compact…

High Energy Astrophysical Phenomena · Physics 2024-08-14 Dandan Wei , Fabian R. N. Schneider , Philipp Podsiadlowski , Eva Laplace , Friedrich K. Roepke , Marco Vetter

We develop a 3 dimensional computer code to study a coalescing neutron star binary. The code can currently follow the evolution up to two stars begin to merge from two spherical stars of mass 1 solar mass and radius 8.9km with separation…

Astrophysics · Physics 2008-11-26 Ken-ichi Oohara , Takashi Nakamura

In numerical relativity simulations with non-trivial matter configurations, one must solve the Hamiltonian and momentum constraints of the ADM formulation for the metric variables in the initial data. We introduce a new scheme based on the…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Josu C. Aurrekoetxea , Katy Clough , Eugene A. Lim

I discuss the conformal approach to the numerical simulation of radiating isolated systems in general relativity. The method is based on conformal compactification and a reformulation of the Einstein equations in terms of rescaled…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Sascha Husa

The capacity to model magnetohydrodynamical (MHD) flows in dynamical, strongly curved spacetimes significantly extends the reach of numerical relativity in addressing many problems at the forefront of theoretical astrophysics. We have…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Branson C. Stephens , Matthew D. Duez , Yuk Tung Liu , Stuart L. Shapiro , Masaru Shibata

Recent advances in black hole astrophysics, particularly the first visual evidence of a supermassive black hole at the center of the galaxy M87 by the Event Horizon Telescope (EHT), and the detection of an orbiting "hot spot" nearby the…

We perform general relativistic magnetohydrodynamic (GRMHD) simulations of binary neutron star (BNS) mergers with four distinct magnetic field topologies: (i) a dipole pulsar-like configuration, (ii) a mixed linear superposition of poloidal…

High Energy Astrophysical Phenomena · Physics 2025-10-21 Inês Rainho , Jamie Bamber , Davide Guerra , Miquel Miravet-Tenés , Milton Ruiz , Antonios Tsokaros , Stuart L. Shapiro

We present a first simulation of the post-merger evolution of a black hole-neutron star binary in full general relativity using an energy-integrated general relativistic truncated moment formalism for neutrino transport. We describe our…

In this work, we study the stellar-dynamical hardening of unequal mass supermassive black hole (SMBH) binaries in the central regions of merging galactic nuclei. We present a comprehensive set of direct $N$-body simulations of the problem,…

Astrophysics of Galaxies · Physics 2022-09-14 Peter Berczik , Manuel Arca Sedda , Margaryta Sobolenko , Marina Ishchenko , Olexander Sobodar , Rainer Spurzem

High-accuracy numerical relativity simulations of binary neutron star mergers are a necessary ingredient for constructing gravitational waveform templates to analyze and interpret observations of compact object mergers. Numerical…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Carolyn A. Raithel , Vasileios Paschalidis

Reproducing color-magnitude diagrams (CMDs) of star-resolved galaxies is one of the most precise methods for measuring the star formation history (SFH) of nearby galaxies back to the earliest time. The upcoming big data era poses challenges…

Astrophysics of Galaxies · Physics 2024-10-17 Yujiao Yang , Chao Liu , Ming Yang , Yun Zheng , Hao Tian

We present our new general relativistic Monte Carlo (MC)-based neutrino radiation hydrodynamics code designed to solve axisymmetric systems with several improvements. The main improvements are as follows: (i) the development of an extended…

High Energy Astrophysical Phenomena · Physics 2024-12-02 Kyohei Kawaguchi , Sho Fujibayashi , Masaru Shibata

Computational fluid dynamics is a crucial tool to theoretically explore the cosmos. In the last decade, we have seen a substantial methodological diversification with a number of cross-fertilizations between originally different methods.…

Instrumentation and Methods for Astrophysics · Physics 2023-01-25 Stephan Rosswog

We describe the public release of the Cluster Monte Carlo Code (CMC) a parallel, star-by-star $N$-body code for modeling dense star clusters. CMC treats collisional stellar dynamics using H\'enon's method, where the cumulative effect of…

This thesis describes the application of numerical techniques to solve Einstein's field equations in three distinct cases. First we present the first long-term stable second order convergent Cauchy characteristic matching code in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ulrich Sperhake

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener

We present a series of fully three-dimensional, dynamical-spacetime general relativistic magnetohydrodynamics (GRMHD) simulations of core-collapse supernovae (CCSNe) for a progenitor of zero-age-main-sequence (ZAMS) mass $25\, M_\odot$. We…

High Energy Astrophysical Phenomena · Physics 2026-04-22 Swapnil Shankar , Philipp Mösta , Roland Haas , Erik Schnetter

A binary neutron star merger has been observed in a multi-messenger detection of gravitational wave (GW) and electromagnetic (EM) radiation. Binary neutron stars that merge within a Hubble time, as well as many other compact binaries, are…

We present a deep neural network (DNN) accelerated Hamiltonian Monte Carlo (HMC) algorithm called DeepHMC for the inference of binary neutron star systems. The HMC is a non-random walk sampler that uses background gradient information to…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Jules Perret , Marc Aréne , Edward K. Porter