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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

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

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 a new approach for the Cauchy-characteristic extraction of gravitational radiation strain, news function, and the flux of the energy-momentum, supermomentum and angular momentum associated with the Bondi-Metzner-Sachs asymptotic…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Casey J. Handmer , Béla Szilágyi , Jeffrey Winicour

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

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

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

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

We present the first numerical relativity waveforms for binary black hole mergers produced using spectral methods that show both the displacement and the spin memory effects. Explicitly, we use the SXS Collaboration's $\texttt{SpEC}$ code…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Keefe Mitman , Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky , Michael Boyle , Nils Deppe , Lawrence E. Kidder , William Throwe

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

Observation and characterisation of gravitational waves from binary black holes requires accurate knowledge of the expected waveforms. The late inspiral and merger phase of the waveform is obtained through direct numerical integration of…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Ian Hinder , Serguei Ossokine , Harald P. Pfeiffer , Alessandra Buonanno

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

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

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

We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Joan Fontbuté , Sebastiano Bernuzzi , Simone Albanesi , David Radice , Alireza Rashti , William Cook , Boris Daszuta , Alessandro Nagar

We are developing 3 dimensional simulation codes for coalescing binary neutron stars. A code using the maximal slicing condition is obtained. To evaluate the gravitational radiation, we implemented a gauge-invariant wave extraction and…

Astrophysics · Physics 2007-05-23 Mari Kawamura , Ken-ichi Oohara , Takashi Nakamura

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

Binary black holes are the most abundant source of gravitational-wave observations. Gravitational-wave observatories in the next decade will require tremendous increases in the accuracy of numerical waveforms modeling binary black holes,…

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

The energy density spectrum is an observable of gravitational waves. Divergence has appeared in the energy density spectra of the scalar induced gravitational waves for different gauge fixings. To resolve the discrepancy, we investigate the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Zhe Chang , Sai Wang , Qing-Hua Zhu
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