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Though the main applications of computer simulations in relativity are to astrophysical systems such as black holes and neutron stars, nonetheless there are important applications of numerical methods to the investigation of general…

General Relativity and Quantum Cosmology · Physics 2016-11-15 David Garfinkle

We present a new approach for stably evolving general relativistic magnetohydrodynamic (GRMHD) simulations in regions where the magnetization $\sigma=b^2/\rho c^2$ becomes large. GRMHD codes typically struggle to evolve plasma above…

High Energy Astrophysical Phenomena · Physics 2024-07-16 Andrew Chael

Direct observations of compact objects, in the form of radiation spectra, gravitational waves from VIRGO/LIGO, and forthcoming direct imaging, are currently one of the primary source of information on the physics of plasmas in extreme…

High Energy Astrophysical Phenomena · Physics 2019-03-27 Fabio Bacchini , Bart Ripperda , Oliver Porth , Lorenzo Sironi

Understanding the observations of dynamical tracers and the trajectories of lensed photons at galactic scales within the context of General Relativity (GR), requires the introduction of a hypothetical dark matter dominant component. The…

Astrophysics of Galaxies · Physics 2018-11-28 X. Hernandez , R. A. Sussman , L. Nasser

The last evolutionary stages of massive black hole binaries prior to coalescence is dominated by the emission of gravitational waves, which will be probed by the future Laser Interferometer Space Antenna. If gas is present around the two…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Giacomo Fedrigo , Alessandro Lupi , Alessia Franchini , Matteo Bonetti

We have written and tested a new general relativistic magnetohydrodynamics (GRMHD) code, capable of evolving MHD fluids in dynamical spacetimes with adaptive-mesh refinement (AMR). Our code solves the Einstein-Maxwell-MHD system of coupled…

High Energy Astrophysical Phenomena · Physics 2010-10-27 Zachariah B. Etienne , Yuk Tung Liu , Stuart L. Shapiro

New physics beyond General Relativity impacts black-hole spacetimes. The effects of new physics can be investigated in a largely theory-agnostic way by following the principled-parameterized approach. In this approach, a classical…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Héloïse Delaporte , Astrid Eichhorn

GR and other metric theories of gravity are formulated with an arbitrary auxiliary curved background in a Lagrangian formalism. A new sketch of how to include spinor fields is included. Conserved quantities are obtained using Noether's…

General Relativity and Quantum Cosmology · Physics 2020-04-23 A. N. Petrov , J. Brian Pitts

The advent of high-fidelity imaging of supermassive black holes calls for efficient and robust data-analysis methods. In this work, we use $\texttt{Jipole}$, a differentiable, $\texttt{ipole}$-based radiative transfer code, to enable…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Pedro Naethe Motta , Mário Raia Neto , Cora Prather , Alejandro Cárdenas-Avendaño

The force-free limit of magnetohydrodynamics (MHD) is often a reasonable approximation to model black hole and neutron star magnetospheres. We describe a general relativistic force-free (GRFFE) formulation that allows general relativistic…

Astrophysics · Physics 2009-11-11 Jonathan C. McKinney

This paper utilizes the {\it Black Hole Vision} smartphone application to catalyze a pedagogical shift in General Relativity education through the quantitative analysis of simulated black hole imaging. Presented here for the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Lior M. Burko

Recent progress in gravitational wave observations has positioned Pulsar Timing Arrays as a key tool for detecting the stochastic gravitational wave background in the nanohertz band. It is widely believed that this background is primarily…

High Energy Astrophysical Phenomena · Physics 2026-05-20 Hinano Hisamatsu , Koutarou Kyutoku

We introduce and develop the 1+3 covariant approach to relativity and cosmology to spacetimes of arbitrary dimensions that have nonzero torsion and do not satisfy the metricity condition. Focusing on timelike observers, we identify and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Damianos Iosifidis , Christos G. Tsagas , Anastasios C. Petkou

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

A code that implements Einstein equations in the characteristic formulation in 3D has been developed and thoroughly tested for the vacuum case. Here, we describe how to incorporate matter, in the form of a perfect fluid, into the code. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. T. Bishop , R. Gomez , L. Lehner , M. Maharaj , J. Winicour

The standard numerical tools for studying non-linear collapse of matter are Newtonian $N$-body simulations. Previous work has shown that these simulations are in accordance with General Relativity (GR) up to first order in perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-07 Christian Fidler , Thomas Tram , Cornelius Rampf , Robert Crittenden , Kazuya Koyama , David Wands

A new code and methodology are introduced for solving the general relativistic magnetohydrodynamic (GRMHD) equations in fixed background spacetimes using time-explicit, finite-volume discretization. The code has options for solving the…

Astrophysics · Physics 2009-11-13 Peter Anninos , P. Chris Fragile , Jay D. Salmonson

The development of numerical N -body simulations have allowed to study formation process and evolution of galaxies at different scales. This paper presents the fundamental concepts of N-body systems applied to the cosmological evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-12 Jazhiel Chacon , J. Alberto Vazquez , Ruslan Gabbasov

Given the compact binary evolution problem of numerical relativity, in the finite-difference, block-based, adaptive mesh refinement context, choices must be made on how evolved fields are to be discretized. In GR-Athena++, the space-time…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Boris Daszuta , William Cook , Peter Hammond , Jacob Fields , Eduardo M. Gutiérrez , Sebastiano Bernuzzi , David Radice

The numerical evolution of Einstein's field equations in a generic background has the potential to answer a variety of important questions in physics: from applications to the gauge-gravity duality, to modelling black hole production in TeV…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Miguel Zilhao , Helvi Witek , Ulrich Sperhake , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Andrea Nerozzi