Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data

Lovelace, Geoffrey

doi:10.1088/0264-9381/26/11/114002

Cited by 46 publications

(71 citation statements)

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“…Data for superposed Kerr punctures have, for example, been presented in [31], and superposed boosted Schwarzschild punctures have been used in [55]; non- conformally-flat data that attempt to include the GW signal from the earlier inspiral of the binary have been proposed in [56]. Work has also been done in producing non-conformally-flat data with excision techniques [27,57]. It is also now known how to produce 1 þ log trumpet-puncture data for a single Schwarzschild black hole [19].…”

Section: Discussionmentioning

confidence: 99%

Bowen-York trumpet data and black-hole simulations

2009

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Type of publicationArticle (peer-reviewed) The most popular method to construct initial data for black-hole-binary simulations is the puncture method, in which compactified wormholes are given linear and angular momentum via the Bowen-York extrinsic curvature. When these data are evolved, they quickly approach a trumpet topology, suggesting that it would be preferable to use data that are in trumpet form from the outset. To achieve this, we extend the puncture method to allow the construction of Bowen-York trumpets, including an outline of an existence and uniqueness proof of the solutions. We construct boosted, spinning and binary Bowen-York puncture trumpets using a single-domain pseudospectral elliptic solver, and evolve the binary data and compare with standard wormhole-data results. We also show that for boosted trumpets the black-hole mass can be prescribed a priori, without recourse to the iterative procedure that is necessary for wormhole data.

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Section: Discussionmentioning

confidence: 99%

Bowen-York trumpet data and black-hole simulations

2009

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“…3.1. The reduction in mismatch is substantially stronger than the finite-length waveform test based on analytical waveforms, indicating that the NR waveforms have unphysical radiation content during the first ∼ 1000M of the evolution, arising from the relaxation of the initial data to a quasi-equilibrium state [83]. When window function B is applied, those numerical artifacts are removed, and the residual mismatches of ∼ 0.01% correspond to the numerical truncation error.…”

Section: Discussionmentioning

confidence: 96%

On the accuracy and precision of numerical waveforms: effect of waveform extraction methodology

Chu

Fong

Kumar

et al. 2016

Class. Quantum Grav.

110

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Abstract. 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 cover on average 24 inspiral orbits, plus merger and ringdown, with low initial orbital eccentricities e < 10 −4 . A subset of the simulations extends the coverage of non-spinning BBHs up to mass ratio q = 10. Gravitational waveforms at asymptotic infinity are computed with two independent techniques: extrapolation and Cauchy characteristic extraction. An error analysis based on noise-weighted inner products is performed. We find that numerical truncation error, error due to gravitational wave extraction, and errors due to the Fourier transformation of signals with finite length of the numerical waveforms are of similar magnitude, with gravitational wave extraction errors dominating at noise-weighted mismatches of ∼ 3 × 10 −4 . This set of waveforms will serve to validate and improve aligned-spin waveform models for gravitational wave science.

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“…A significant reduction of junk radiation can be achieved by computing non-conformally-flat initial data, e.g. [43][44][45][46][47][48].…”

Section: B Reduction Of Initial Gauge Dynamicsmentioning

confidence: 99%

Solving the Hamiltonian constraint for1+logtrumpets

Dietrich¹,

Brügmann²

2014

Phys. Rev. D

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The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the Hamiltonian constraint for the conformal factor, the coordinate singularity requires special attention. The standard way to treat the pole singularity occurring in wormhole puncture data is not generally applicable to trumpet puncture data. We investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctures of the wormhole and 1+log-trumpet type. Additionally, we describe a method to solve the Hamiltonian constraint for two 1+log trumpets for a given extrinsic curvature with non-vanishing trace. We investigate properties of this constructed initial data during binary black hole evolutions and find that the initial gauge dynamics is reduced.

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Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data

Cited by 46 publications

References 50 publications

Bowen-York trumpet data and black-hole simulations

Bowen-York trumpet data and black-hole simulations

On the accuracy and precision of numerical waveforms: effect of waveform extraction methodology

Solving the Hamiltonian constraint for1+logtrumpets

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