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A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that define generalized harmonic coordinates…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Frans Pretorius

The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues. At present, the major impasses to…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Maria Babiuc , Bela Szilagyi , Jeffrey Winicour

We present a new open-source, user-friendly toolkit of two codes$-$SFcollapse1D and NRPyCritCol$-$to study critical phenomena in the context of gravitational collapse. SFcollapse1D is a C/C++ tool designed to solve the problem of…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Leonardo R. Werneck , Zachariah B. Etienne , Elcio Abdalla , Bertha Cuadros-Melgar , C. E. Pellicer

We introduce a new, open-source computational general relativity framework for the Wolfram Language called Gravitas, which boasts a number of novel and distinctive features as compared to the many pre-existing computational and numerical…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Jonathan Gorard

We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view towards quantifying non-linear effects from cosmological inhomogeneities. We demonstrate fourth-order…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-22 Hayley J. Macpherson , Paul D. Lasky , Daniel J. Price

We have developed a numerical code to study the evolution of self-gravitating matter in dynamic black hole axisymmetric spacetimes in general relativity. The matter fields are evolved with a high-resolution shock-capturing scheme that uses…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Brandt , J. A. Font , J. M. Ibanez , J. Masso , E. Seidel

Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Carlos Palenzuela

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Robert A. Eisenstein

In this work, we introduce GRChombo: a new numerical relativity code which incorporates full adaptive mesh refinement (AMR) using block structured Berger-Rigoutsos grid generation. The code supports non-trivial "many-boxes-in-many-boxes"…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Katy Clough , Pau Figueras , Hal Finkel , Markus Kunesch , Eugene A. Lim , Saran Tunyasuvunakool

We derive a formalism of numerical relativity for higher-dimensional spacetimes and develop numerical codes for simulating a wide variety of five-dimensional (5D) spacetimes for the first time. First, the Baumgarte-Shapiro-Shibata-Nakamura…

General Relativity and Quantum Cosmology · Physics 2009-12-18 Hirotaka Yoshino , Masaru Shibata

Modeling the radiation generated by accreting matter is an important step towards realistic simulations of black hole accretion disks, especially at high accretion rates. To this end, we have recently added radiation transport to the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 P. Chris Fragile , Anna Gillespie , Timothy Monahan , Marco Rodriguez , Peter Anninos

In an early work the Rossby Wave Instability (RWI) has been proposed to explain variability thought to originate in the close vicinity of black-holes but this was done in the pseudo-Newtonian approach. Here we present the first general…

High Energy Astrophysical Phenomena · Physics 2018-11-07 F. Casse , P. Varniere , Z. Meliani

We present a series of test beds for numerical codes designed to find apparent horizons. We consider three apparent horizon finders that use different numerical methods: one of them in axisymmetry, and two fully three-dimensional. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Alcubierre , S. Brandt , B. Bruegmann , C. Gundlach , J. Masso , E. Seidel , P. Walker

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek

Polarized general-relativistic radiative transfer in the vicinity of black holes and other compact objects has become a crucial tool for probing the properties of relativistic astrophysics plasmas. Instruments like GRAVITY, the Event…

High Energy Astrophysical Phenomena · Physics 2023-12-01 N. Aimar , T. Paumard , F. H. Vincent , E. Gourgoulhon , G. Perrin

To fully unlock the scientific potential of upcoming gravitational wave (GW) interferometers, numerical relativity (NR) simulation accuracy will need to be greatly enhanced. We present three infrastructure-agnostic improvements to the…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Zachariah B. Etienne

We present the first results in a new program intended to make the best use of all available technologies to provide an effective understanding of waves from inspiralling black hole binaries in time for imminent observations. In particular,…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Baker , B. Bruegmann , M. Campanelli , C. O. Lousto

We review various approaches to approximating general relativistic effects in hydrodynamic simulations of stellar core collapse and post-bounce evolution. Different formulations of a modified Newtonian gravitational potential are presented.…

Astrophysics · Physics 2009-11-11 Harald Dimmelmeier , Pablo Cerda-Duran , Andreas Marek , Guillaume Faye

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe
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