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\texttt{aurel} is an open-source Python package designed to \emph{au}tomatically calculate \emph{rel}ativistic quantities. It uses an efficient, flexible and user-friendly caching and dependency-tracking system, ideal for managing the…

Instrumentation and Methods for Astrophysics · Physics 2026-02-13 Robyn L. Munoz , Christian T. Byrnes , Will J. Roper

This document describes the new Numerical Relativity (NR) injection infrastructure in the LIGO Algorithms Library (LAL), which henceforth allows for the usage of NR waveforms as a discrete waveform approximant in LAL. With this new…

General Relativity and Quantum Cosmology · Physics 2017-03-06 Patricia Schmidt , Ian W. Harry , Harald P. Pfeiffer

Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySymmetry, an open-source Sage/Python framework that implements…

Group Theory · Mathematics 2025-09-25 Leon D. da Silva , Marcelo P. Santos

Recent years have witnessed tremendous progress in numerical relativity and an ever improving performance of ground-based interferometric gravitational wave detectors. In preparation for Advanced LIGO and a new era in gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Sebastian Fischetti , James Healy , Laura Cadonati , Lionel London , Satyanarayan R. P. Mohapatra , Deirdre Shoemaker

The Event Horizon Telescope (EHT) has released analyses of reconstructed images of horizon-scale millimeter emission near the supermassive black hole at the center of the M87 galaxy. Parts of the analyses made use of a large library of…

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maurice H. P. M. van Putten

In the absence of symmetry assumptions most numerical relativity simulations adopt Cartesian coordinates. While Cartesian coordinates have some desirable properties, spherical polar coordinates appear better suited for certain applications,…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Thomas W. Baumgarte , Pedro J. Montero , Isabel Cordero-Carrión , Ewald Müller

GRDzhadzha is an open-source code for relativistic simulations of matter fields on curved spacetimes that admit an analytic description (e.g. stationary black holes). It is based on the publicly available 3+1D numerical relativity code…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Josu C. Aurrekoetxea , Jamie Bamber , Sam E. Brady , Katy Clough , Thomas Helfer , James Marsden , Dina Traykova , Zipeng Wang

Recent years have witnessed a rise in interest in the geometrical trinity of General Relativity and its extensions. This interest has been fuelled by novel insights into the nature of gravity, the possibility to address computational and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Lavinia Heisenberg

We present a new geometrical approach to the study of accretion flows onto rotating (Kerr) black holes. Instead of Boyer-Lindquist coordinates, the standard choice in all existing numerical simulations in the literature, we employ the…

Astrophysics · Physics 2009-10-30 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

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

Analogue spacetimes, (and more boldly, analogue models both of and for gravity), have attracted significant and increasing attention over the last decade and a half. Perhaps the most straightforward physical example, which serves as a…

General Relativity and Quantum Cosmology · Physics 2013-08-20 Matt Visser

We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bela Szilagyi , Denis Pollney , Luciano Rezzolla , Jonathan Thornburg , Jeffrey Winicour

Accretion physics studies the process of gravitational capture of ambient matter by massive stars. The background processes are very challenging to observe and measure due to the extreme conditions in these systems. Numerical simulations…

High Energy Astrophysical Phenomena · Physics 2024-09-24 Biplob Sarkar , Liza Devi , Asish Jyoti Boruah

We present PySCo, a fast and user-friendly Python library designed to run cosmological $N$-body simulations across various cosmological models, such as $\Lambda$CDM and $w_0w_a$CDM, and alternative theories of gravity, including $f(R)$,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-08 Michel-Andrès Breton

This report is concerned with the efficiency of numerical methods for simulating quantum spin systems, with the aim to implement an improved method for simulation of a time-dependent Hamiltonian that displays chirped pulses at a high…

Quantum Physics · Physics 2023-12-29 Danny Goodacre

Adaptive techniques are crucial for successful numerical modeling of gravitational waves from astrophysical sources such as coalescing compact binaries, since the radiation typically has wavelengths much larger than the scale of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kimberly C. B. New , Dae-Il Choi , Joan M. Centrella , Peter MacNeice , Mijan F. Huq , Kevin Olson

Numerical Relativity is a mature field with many applications in Astrophysics, Cosmology and even in Fundamental Physics. As such, we are entering a stage in which new sophisticated methods adapted to open problems are being developed. In…

Computational Physics · Physics 2020-02-27 Daniel Santos-Oliván , Carlos F. Sopuerta

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

General Relativity and Quantum Cosmology · Physics 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

Black Holes are unique objects which allow for meaningful theoretical studies of strong gravity and even quantum gravity effects. An infalling and a distant observer would have very different views on the structure of the world. However, a…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Alexey Golovnev