Extending gravitational wave extraction using Weyl characteristic fields

Iozzo, Dante A. B.; Boyle, Michael; Deppe, Nils; Moxon, Jordan; Scheel, Mark A.; Kidder, Lawrence E.; Pfeiffer, Harald P.; Teukolsky, Saul A.

doi:10.1103/physrevd.103.024039

Cited by 35 publications

(38 citation statements)

References 56 publications

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“…Each simulation contains roughly 19 orbits prior to merger and is evolved until the waves from ringdown leave the computational domain. Unlike the evolutions in the SXS catalog, the full set of Weyl scalars and the strain have been extracted from these runs, and the waveforms have been computed using the extrapolation technique described in [24] and the CCE procedure described in [25,37]. Extrapolation is performed with the PYTHON module SCRI [13,[28][29][30] and CCE is run with SpECTRE's CCE module [25,37,38].…”

Section: Resultsmentioning

confidence: 99%

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Fixing the BMS frame of numerical relativity waveforms

et al. 2021

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Understanding the Bondi-Metzner-Sachs (BMS) frame of the gravitational waves produced by numerical relativity is crucial for ensuring that analyses on such waveforms are performed properly. It is also important that models are built from waveforms in the same BMS frame. Up until now, however, the BMS frame of numerical waveforms has not been thoroughly examined, largely because the necessary tools have not existed. In this paper, we show how to analyze and map to a suitable BMS frame for numerical waveforms calculated with the Spectral Einstein Code (SpEC). However, the methods and tools that we present are general and can be applied to any numerical waveforms. We present an extensive study of 13 binary black hole systems that broadly span parameter space. From these simulations, we extract the strain and also the Weyl scalars using both SpECTRE's Cauchy-characteristic extraction module and also the standard extrapolation procedure with a displacement memory correction applied during postprocessing. First, we show that the current center-of-mass correction used to map these waveforms to the center-ofmass frame is not as effective as previously thought. Consequently, we also develop an improved correction that utilizes asymptotic Poincaré charges instead of a Newtonian center-of-mass trajectory. Next, we map our waveforms to the post-Newtonian (PN) BMS frame using a PN strain waveform. This helps us find the unique BMS transformation that minimizes the L 2 norm of the difference between the numerical and PN strain waveforms during the early inspiral phase. We find that once the waveforms are mapped to the PN BMS frame, they can be hybridized with a PN strain waveform much more effectively than if one used any of the previous alignment schemes, which only utilize the Poincaré transformations.

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Section: Resultsmentioning

confidence: 99%

“…We set c ¼ G ¼ 1 and take η μν to be the ð−; þ; þ; þÞ Minkowski metric. When working with complex dyads, following the work of [24], we use…”

Section: B Conventionsmentioning

confidence: 99%

Fixing the BMS frame of numerical relativity waveforms

et al. 2021

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“…As such, it is not expected that a velocity measured with respect to some local coordinates will be comparable to that same velocity measured with respect to an entirely different coordinate system set up on I þ . In fact, it has been shown that the naive choice of retarded time u ¼ t − r Ã in simulation coordinates (where r Ã is the radial tortoise coordinate) actually fails to parametrize null rays for BBH spacetimes [46,89].…”

Section: B Recoil Velocity Comparisonmentioning

confidence: 99%

“…Recent developments have established reliable procedures for computing the gravitational-wave strain h and the Weyl scalars ðψ 4 ; ψ 3 ; ψ 2 ; ψ 1 ; ψ 0 Þ at I þ from an NR simulation [44][45][46]. These asymptotic quantities, collectively known as Bondi data or asymptotic data, are subject to an infinitedimensional group of gauge freedoms described by the Bondi-Metzner-Sachs (BMS) group [47,48], which is an enlargement of the Poincaré group.…”

Section: Introductionmentioning

confidence: 99%

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Comparing remnant properties from horizon data and asymptotic data in numerical relativity

et al. 2021

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We present a new study of remnant black hole properties from 13 binary black hole systems, numerically evolved using the Spectral Einstein Code. The mass, spin, and recoil velocity of each remnant were determined quasilocally from apparent horizon data and asymptotically from Bondi data ðh; ψ 4 ; ψ 3 ; ψ 2 ; ψ 1 Þ computed at future null infinity using SpECTRE's Cauchy characteristic evolution. We compare these independent measurements of the remnant properties in the bulk and on the boundary of the spacetime, giving insight into how well asymptotic data are able to reproduce local properties of the remnant black hole in numerical relativity. We also discuss the theoretical framework for connecting horizon quantities to asymptotic quantities and how it relates to our results. This study recommends a simple improvement to the recoil velocities reported in the Simulating eXtreme Spacetimes waveform catalog, provides an improvement to future surrogate remnant models, and offers new analysis techniques for evaluating the physical accuracy of numerical simulations.

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Extreme gravitational interactions in the problem of three black holes in general relativity

Imbrogno

Meringolo

Servidio

2023

Class. Quantum Grav.

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We study the three-body problem going from Newtonian mechanics to general relativity. In the classical case, we model the interactions in a typical chaotic configuration, identifying Extreme Gravitational Interactions (EGIs), namely transients in which the system manifests complex, highly-energetic dynamics. We then concentrate on the main part of the work, by selecting these EGIs as initial data for the general relativistic case, and performing a campaign of numerical relativity simulations. To provide a comprehensive menu of cases, we investigate different global configurations. By comparing with the more ``quiet'' two-body inspiral, we observe strong nonlinear emission of gravitational waves. The multi-body signals have been inspected by employing both Fourier and wavelet analyses, showing net differences among the global configurations. The wavelet analysis reveals the reminiscence of the EGIs in the three black holes problem. Such a survey of simulations might be a guide for future observations.

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Extending gravitational wave extraction using Weyl characteristic fields

Cited by 35 publications

References 56 publications

Fixing the BMS frame of numerical relativity waveforms

Fixing the BMS frame of numerical relativity waveforms

Comparing remnant properties from horizon data and asymptotic data in numerical relativity

Extreme gravitational interactions in the problem of three black holes in general relativity

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