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Numerical relativity simulations are crucial for studying black holes and have been instrumental in the detection of gravitational waves by the LVK. However, these simulations produce vast amounts of data that must be processed in order to…

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 report on a new open-source, user-friendly numerical relativity code package called SENR/NRPy+. Our code extends previous implementations of the BSSN reference-metric formulation to a much broader class of curvilinear coordinate systems,…

General Relativity and Quantum Cosmology · Physics 2018-03-30 Ian Ruchlin , Zachariah B. Etienne , Thomas W. Baumgarte

I describe approaches to the study of black hole spacetimes via numerical relativity. After a brief review of the basic formalisms and techniques used in numerical black hole simulations, I discuss a series of calculations from axisymmetry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel

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

Numerical relativity is finally coming of age with the development of massively parallel computers. 3D problems, which were completely intractable several years ago due to limited computer power, can now be performed with grid sizes of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Anninos , Karen Camarda , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias , John Towns

Numerical simulations are becoming a more effective tool for conducting detailed investigations into the evolution of our universe. In this article, we show how the framework of numerical relativity can be used for studying cosmological…

General Relativity and Quantum Cosmology · Physics 2014-03-13 David Garrison

In this exploratory study, we demonstrate the capability of the numerical-relativity code BAM to simulate fully relativistic black-hole binary-single and binary-binary encounters. While previous work has demonstrated the general capability…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Felix M. Heinze , Bernd Brügmann , Tim Dietrich , Ivan Markin

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

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

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ulrich Sperhake

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

The production of numerical relativity waveforms that describe quasicircular binary black hole mergers requires high-quality initial data, and an algorithm to iteratively reduce residual eccentricity. To date, these tools remain closed…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Sarah Habib , Antoni Ramos-Buades , E. A. Huerta , Sascha Husa , Roland Haas , Zachariah 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

We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luis Lehner

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

The astrophysics of compact objects, which requires Einstein's theory of general relativity for understanding phenomena such as black holes and neutron stars, is attracting increasing attention. In general relativity, gravity is governed by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel , Wai-Mo Suen

We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in three major areas of BH physics: (i) BHs as…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso

I review recent developments in numerical relativity, focussing on progress made in 3D black hole evolution. Progress in development of black hole initial data, apparent horizon boundary conditions, adaptive mesh refinement, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel
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