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Modern gravitational-wave science demands increasingly accurate and computationally intensive numerical relativity (NR) simulations. The Python-based, open-source NRPy framework generates optimized C/C++ code for NR, including the complete…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Nishita Jadoo , Terrence Pierre Jacques , Zachariah B. Etienne

Next-generation gravitational wave detectors such as Cosmic Explorer, the Einstein Telescope, and LISA, demand highly accurate and extensive gravitational wave (GW) catalogs to faithfully extract physical parameters from observed signals.…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Samuel D. Tootle , Leonardo R. Werneck , Thiago Assumpção , Terrence Pierre Jacques , Zachariah B. Etienne

We introduce NRPyElliptic, an elliptic solver for numerical relativity (NR) built within the NRPy+ framework. As its first application, NRPyElliptic sets up conformally flat, binary black hole (BBH) puncture initial data (ID) on a single…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Thiago Assumpcao , Leonardo R. Werneck , Terrence Pierre Jacques , Zachariah B. Etienne

Numerical relativity codes that do not make assumptions on spatial symmetries most commonly adopt Cartesian coordinates. While these coordinates have many attractive features, spherical coordinates are much better suited to take advantage…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Vassilios Mewes , Yosef Zlochower , Manuela Campanelli , Ian Ruchlin , Zachariah B. Etienne , Thomas W. Baumgarte

Numerical relativity has brought about profound and wide-ranging influences on modern astrophysics and gravitational-wave astronomy. In this study, we present a user-friendly Python interface for the numerical relativity code AMSS-NCKU.…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chen-Kai Qiao , Yi Zheng , Zhou-Jian Cao

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

Numerical relativity became a powerful tool to investigate the dynamics of binary problems with black holes or neutron stars as well as the very structure of General Relativity. Although public numerical relativity codes are available to…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Hirotada Okawa

Brown has recently introduced a covariant formulation of the BSSN equations which is well suited for curvilinear coordinate systems. This is particularly desirable as many astrophysical phenomena are symmetric with respect to the rotation…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Pedro J. Montero , Isabel Cordero-Carrion

OGRePy is a modern, open-source Python package designed to perform symbolic tensor calculations, with a particular focus on applications in general relativity. Built on an object-oriented architecture, OGRePy encapsulates tensors, metrics,…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Barak Shoshany

Numerical relativity is an essential tool for solving Einstein's equations of general relativity for dynamical systems characterized by high velocities and strong gravitational fields. The implementation of new algorithms that can solve…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stuart L. Shapiro

Many astrophysical systems of interest to numerical relativity-such as rapidly rotating stars, black hole accretion disks, and core-collapse supernovae-exhibit near-symmetries. These systems generally consist of a strongly gravitating…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Terrence Pierre Jacques , Samuel Cupp , Leonardo R. Werneck , Samuel D. Tootle , Maria C. Babiuc Hamilton , Zachariah B. Etienne

We present version 1.0 of our Lagrangian Numerical Relativity code SPHINCS_BSSN. This code evolves the full set of Einstein equations, but contrary to other Numerical Relativity codes, it evolves the matter fluid via Lagrangian particles in…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Stephan Rosswog , Francesco Torsello , Peter Diener

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

While each computer algebra system (CAS) contains its own unique syntax for inputting mathematical expressions, LaTeX is perhaps the most widespread language for typesetting mathematics. NRPyLaTeX (NL) enables direct LaTeX input of complex…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Kenneth J. Sible , Zachariah B. Etienne

We investigate the suitability and properties of a quasi-Kinnersley tetrad and a geometrically motivated coordinate system as tools for quantifying both strong-field and wave-zone effects in numerical relativity (NR) simulations. We fix the…

General Relativity and Quantum Cosmology · Physics 2012-12-18 Fan Zhang , Jeandrew Brink , Béla Szilágyi , Geoffrey Lovelace

Numerical relativity simulations of merging black holes provide the most accurate description of the binary dynamics and the emitted gravitational wave signal. However, practical considerations such as imperfect initial data and initial…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Taylor Knapp , Katerina Chatziioannou , Harald Pfeiffer , Mark A. Scheel , Lawrence E. Kidder

We present version 2.1 of the public code {\sc precession}, a Python module for studying the post-Newtonian dynamics of precessing black hole binaries. In this release, we extend the code to handle eccentric orbits. This extension leverages…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Giulia Fumagalli , Davide Gerosa , Nicholas Loutrel

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

Introduction of curvilinear coordinates might be very convenient in many cases. Theoretically, tensor analysis would be most suited. However, tensor notation can't be used in numerical procedure. For example, the strict discrimination of…

General Mathematics · Mathematics 2017-07-14 Hiroshi Isshiki , Daisuke Kitazawa

New General Relativity (NGR) is a class of teleparallel theories defined by three free parameters, effectively reduced to two after appropriate normalization, which are subject to experimental constraints. In this framework, matter couples…

General Relativity and Quantum Cosmology · Physics 2026-04-20 D. F. López , A. A. Coley , R. J. van den Hoogen
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