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The accurate modeling of gravitational radiation is a key issue for gravitational wave astronomy. As simulation codes reach higher accuracy, systematic errors inherent in current numerical relativity wave-extraction methods become evident,…

General Relativity and Quantum Cosmology · Physics 2010-03-26 C. Reisswig , N. T. Bishop , D. Pollney , B. Szilagyi

We develop and calibrate a characteristic waveform extraction tool whose major improvements and corrections of prior versions allow satisfaction of the accuracy standards required for advanced LIGO data analysis. The extraction tool uses a…

General Relativity and Quantum Cosmology · Physics 2011-09-26 M. C. Babiuc , B. Szilagyi , J. Winicour , Y. Zlochower

We extract gravitational waveforms from numerical simulations of black hole binaries computed using the Spectral Einstein Code. We compare two extraction methods: direct construction of the Newman-Penrose (NP) scalar $\Psi_4$ at a finite…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Nicholas W. Taylor , Michael Boyle , Christian Reisswig , Mark A. Scheel , Tony Chu , Lawrence E. Kidder , Bela Szilagyi

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress in characteristic evolution is traced from the early stage of 1D feasibility studies to 2D…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Jeffrey Winicour

We implement a code to find the gravitational news at future null infinity by using data from a Cauchy code as boundary data for a characteristic code. This technique of Cauchy-characteristic Extraction (CCE) allows for the unambiguous…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Maria Babiuc , Bela Szilagyi , Ian Hawke , Yosef Zlochower

The detection and subsequent inference of binary black hole signals rely heavily on the accuracy of the waveform model employed. In the highly non-linear, dynamic, and strong-field regime near merger, these waveforms can only be accurately…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Alireza Rashti , Rossella Gamba , Koustav Chandra , David Radice , Boris Daszuta , William Cook , Sebastiano Bernuzzi

We give full details regarding the new Cauchy-characteristic evolution (CCE) system in SpECTRE. The implementation is built to provide streamlined flexibility for either extracting waveforms during the process of a SpECTRE binary compact…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky , Nils Deppe , Nils Fischer , Francois Hébert , Lawrence E. Kidder , William Throwe

We present gauge invariant spectral Cauchy characteristic extraction. We compare gravitational waveforms extracted from a head-on black hole merger simulated in two different gauges by two different codes. We show rapid convergence,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Casey J. Handmer , Béla Szilágyi , Jeffrey Winicour

Gravitational waves provide a powerful enhancement to our understanding of fundamental physics. To make the most of their detection we need to accurately model the entire process of their emission and propagation toward interferometers.…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Thanasis Giannakopoulos , Nigel T. Bishop , David Hilditch , Denis Pollney , Miguel Zilhão

Cauchy-Characteristic Matching (CCM), the combination of a central 3+1 Cauchy code with an exterior characteristic code connected across a time-like interface, is a promising technique for the generation and extraction of gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gioel Calabrese

We present the first results for Cauchy nonlinear evolution of 3D, nonaxisymmetric distorted black holes. We focus on the extraction and verification of 3D waveforms determined by numerical relativity. We show that the black hole evolution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

Cauchy-characteristic evolution (CCE) is a powerful method for accurately extracting gravitational waves at future null infinity. In this work, we extend the previously implemented CCE system within the numerical relativity code SpECTRE by…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Sizheng Ma , Kyle C. Nelli , Jordan Moxon , Mark A. Scheel , Nils Deppe , Lawrence E. Kidder , William Throwe , Nils L. Vu

We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in the Bondi framework. Developed within the Spectral Einstein Code (SpEC), we demonstrate spectral characteristic evolution as a technical…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Casey J. Handmer , Béla Szilágyi

We present several improvements to the Cauchy-characteristic evolution procedure that generates high-fidelity gravitational waveforms at $\mathcal{I}^+$ from numerical relativity simulations. Cauchy-characteristic evolution combines an…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky

We present an improved spectral algorithm for Cauchy-characteristic extraction and characteristic evolution of gravitational waves in numerical relativity. The new algorithms improve spectral convergence both at the poles of the…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Kevin Barkett , Jordan Moxon , Mark A. Scheel , Béla Szilágyi

We present a fully Bayesian, data-driven framework for identifying quasinormal modes in high-accuracy Cauchy-Characteristic Evolution (CCE) gravitational waveforms. Applying this to a public catalog, we identify QNM overtones, retrograde…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Richard Dyer , Christopher J. Moore

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Jeffrey Winicour

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to current 3D black codes that simulate…

General Relativity and Quantum Cosmology · Physics 2016-10-19 J. Winicour

We treat the calculation of gravitational radiation using the mixed timelike-null initial value formulation of general relativity. The determination of an exterior radiative solution is based on boundary values on a timelike worldtube…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Bishop , R. Gomez , L. Lehner , J. Winicour

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
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