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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 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

In this work, we present a work in progress towards an efficient and economical computational module which interfaces between Cauchy and characteristic evolution codes. Our goal is to provide a standardized waveform extraction tool for the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 M. C. Babiuc , J. Winicour , Y. Zlochower

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

Numerical relativity simulations provide the most precise templates for the gravitational waves produced by binary black hole mergers. However, many of these simulations use an incomplete waveform extraction technique -- extrapolation --…

We present a detailed methodology for extracting the full set of Newman-Penrose Weyl scalars from numerically generated spacetimes without requiring a tetrad that is completely orthonormal or perfectly aligned to the principal null…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Dante A. B. Iozzo , Michael Boyle , Nils Deppe , Jordan Moxon , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

We present a new set of 95 numerical relativity simulations of non-precessing binary black holes (BBHs). The simulations sample comprehensively both black-hole spins up to spin magnitude of 0.9, and cover mass ratios 1 to 3. The simulations…

General Relativity and Quantum Cosmology · Physics 2016-10-17 Tony Chu , Heather Fong , Prayush Kumar , Harald P. Pfeiffer , Michael Boyle , Daniel A. Hemberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

We perform simulations of general relativistic rotating stellar core collapse and compute the gravitational waves (GWs) emitted in the core bounce phase of three representative models via multiple techniques. The simplest technique, the…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Christian Reisswig , Christian D. Ott , Ulrich Sperhake , Erik Schnetter

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

Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer

Two complementary techniques are developed for obtaining the asymptotic form of gravitational-wave data at large radii from numerical simulations, in the form of easily implemented algorithms. It is shown that, without extrapolation,…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Michael Boyle , Abdul H. Mroué

We present a method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge--Wheeler--Zerilli perturbation formalism. [abridged] We then present fully…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrique Pazos , Ernst Nils Dorband , Alessandro Nagar , Carlos Palenzuela , Erik Schnetter , Manuel Tiglio

We derive an analytical expression for extracting the gravitational waveforms at null infinity using the Weyl scalar $\psi_4$ measured at a finite radius. Our expression is based on a series solution in orders of 1/r to the equations for…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. Nakano , J. Healy , C. O. Lousto , Y. Zlochower

The availability of accurate numerical waveforms is an important requirement for the creation and calibration of reliable waveform models for gravitational wave astrophysics. For black hole-neutron star binaries, very few accurate waveforms…

We present a framework to propagate to null infinity gravitational waves computed at timelike worldtubes in the interior of a 3+1 (Cauchy) numerical relativity simulations. In our method, numerical relativity data are used as the inner…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Sebastiano Bernuzzi , Joan Fontbuté , Simone Albanesi , Anil Zenginoğlu

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

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 new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

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
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