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We review the dramatic progress in the simulations of compact objects and compact-object binaries that has taken place in the first two decades of the twenty-first century. This includes simulations of the inspirals and violent mergers of…

General Relativity and Quantum Cosmology · Physics 2018-11-08 Matthew D. Duez , Yosef Zlochower

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We present the open source Astrophysical Multi-purpose Software Environment (AMUSE, www.amusecode.org), a component library for performing astrophysical simulations involving different physical domains and scales. It couples existing codes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 F. I. Pelupessy , A. van Elteren , N. de Vries , S. L. W. McMillan , N. Drost , S. F. Portegies Zwart

Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

This set of notes was designed to accompany two hours of lectures and practical exercises at the New Horizons for Psi workshop in Lisbon in July 2024 entitled "Studying fundamental fields with numerical relativity". Numerical relativity is…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Katy Clough

We present an efficient numerical code based on spectral methods to integrate the field equations of general Robinson-Trautmann spacetimes. The most natural basis functions for the spectral expansion of the metric functions are spherical…

General Relativity and Quantum Cosmology · Physics 2011-11-10 H. P. de Oliveira , E. L. Rodrigues , J. E. F. Skea

Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Luis Lehner

Black holes and other compact objects are powerful tools to observationally test Einsteins theory of General Relativity. We develop raytracing code to create visual images of compact objects that are solutions of Einsteins field equations.…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Frank Imbens

This paper presents OCTOPUS, a relativistic ray-tracing algorithm developed within a Fortran-based, OpenMP-accelerated framework, designed for asymptotically flat, spherically symmetric curved spacetimes. The code efficiently and accurately…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Shiyang Hu , Shijie Tan , Dan Li , Lina Zhang , Chen Deng , Wenfu Cao

We present recent developments on numerical algorithms for computing photon and particle trajectories in the surrounding of compact objects. Strong gravity around neutron stars or black holes causes relativistic effects on the motion of…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Fabio Bacchini , Bart Ripperda , Lorenzo Sironi

In the era of gravitational-wave astronomy, general-relativistic simulations of compact objects play a role of paramount importance. These calculations can be performed with the Einstein Toolkit, an open-source and community-supported…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Gabriele Bozzola

We present an open-source simulation framework for optically detected magnetic resonance, developed in Python. The framework allows users to construct, manipulate, and evolve multipartite quantum systems that consist of spins and electronic…

Quantum Physics · Physics 2025-01-13 Laura A. Völker , John M. Abendroth , Christian L. Degen , Konstantin Herb

The paper combines theoretical and applied ideas which have been previously considered separately into a single set of evolution equations for Numerical Relativity. New numerical ingredients are presented which avoid gauge pathologies and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Arbona , C. Bona , J. Masso , J. Stela

Full interpretation of data from gravitational wave observations will require accurate numerical simulations of source systems, particularly binary black hole mergers. A leading approach to improving accuracy in numerical relativity…

General Relativity and Quantum Cosmology · Physics 2013-05-29 John G. Baker , James R. van Meter

Strong gravity in the immediate vicinity of compact objects (e.g., black holes, neutron stars) necessitates inclusion of general relativistic effects. Traditionally, pseudo-Newtonian potential representation of gravity were favored to…

High Energy Astrophysical Phenomena · Physics 2024-10-16 Sudip K Garain , Pranayjit Dey

We present a new pseudospectral code, bamps, for numerical relativity written with the evolution of collapsing gravitational waves in mind. We employ the first order generalized harmonic gauge formulation. The relevant theory is reviewed…

General Relativity and Quantum Cosmology · Physics 2016-03-23 David Hilditch , Andreas Weyhausen , Bernd Bruegmann

Gravitational wave observations from merging compact objects are becoming commonplace, and as detectors improve and gravitational wave sources become more varied, it is increasingly important to have dense and expansive template banks of…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Deborah Ferguson

Black holes represent extreme conditions of physical laws. Being predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently more direct evidence of their existence has…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Christian Fendt

Advancement in recent years in the field of experimental gravitation has allowed to test the equivalence principle in regimes that were previously unexplored, allowing for unprecedented verifications of general relativity and also enabling…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Riccardo Della Monica

We present the numerical code PRECESSION: a new open-source python module to study the dynamics of precessing black-hole binaries in the post-Newtonian regime. The code provides a comprehensive toolbox to (i) study the evolution of the…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Davide Gerosa , Michael Kesden