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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 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 possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms last for multiple periods and are very accurate, showing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David R. Fiske , John G. Baker , James R. van Meter , Dae-Il Choi , Joan M. Centrella

The main aim of this study is the comparison of gravitational waveforms obtained from numerical simulations which employ different numerical evolution approaches and different wave-extraction techniques. For this purpose, we evolve an…

General Relativity and Quantum Cosmology · Physics 2009-03-11 Luca Baiotti , Sebastiano Bernuzzi , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

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

In previous works, we developed a perturbative extrapolation formula to obtain gravitational waves at infinity from binary black hole simulations, based on the Regge-Wheeler-Zerilli formalism. In practice, this formula was basically derived…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Hiroyuki Nakano

We report application of a method for extracting gravitational waves to three-dimensional numerical simulation on coalescing binary neutron stars. We found the extracted wave form includes the componets corresponding to the quadrupole part…

Astrophysics · Physics 2009-11-10 Mari Kawamura , Ken-ichi Oohara

We present the second release of the $\texttt{GR-Athena++}$ waveform catalog, comprising four new quasi-circular, non-precessing, spinning binary black hole simulations. These simulations are performed at high resolutions and represent a…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Estuti Shukla , Alireza Rashti , Rossella Gamba , David Radice , Koustav Chandra

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 study the impact of quantum corrections to gravitational waveforms on the gravitational wave memory effect. In certain quantum gravity theories and semi-classical frameworks, black holes (or other exotic compact objects) exhibit…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Nils Deppe , Lavinia Heisenberg , Lawrence E. Kidder , David Maibach , Sizheng Ma , Jordan Moxon , Kyle C. Nelli , William Throwe , Nils L. Vu

We introduce a new approach for finding high accuracy, free and closed-form expressions for the gravitational waves emitted by binary black hole collisions from ab initio models. More precisely, our expressions are built from numerical…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Manuel Tiglio , Aarón Villanueva

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,…

Errors due to imperfect boundary conditions in numerical relativity simulations of binary black holes can produce unphysical reflections of gravitational waves which compromise the accuracy of waveform predictions, especially for…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Luisa T. Buchman , Matthew D. Duez , Marlo Morales , Mark A. Scheel , Tim M. Kostersitz , Andrew M. Evans , Keefe Mitman

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

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 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