High accuracy binary black hole simulations with an extended wave zone

Pollney, Denis; Reisswig, Christian; Schnetter, Erik; Dorband, Nils; Diener, Peter

doi:10.1103/physrevd.83.044045

Cited by 152 publications

(188 citation statements)

References 98 publications

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“…Some previous comparisons of CCE and extrapolation have been done using binary black hole simulations performed with the finite-difference code Llama [47]. In Refs.…”

Section: Arxiv:13093605v1 [Gr-qc] 13 Sep 2013mentioning

confidence: 99%

Comparing gravitational waveform extrapolation to Cauchy-characteristic extraction in binary black hole simulations

et al. 2013

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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 Ψ4 at a finite distance from the source and Cauchy-characteristic extraction (CCE). The direct NP approach is simpler than CCE, but NP waveforms can be contaminated by near-zone effects-unless the waves are extracted at several distances from the source and extrapolated to infinity. Even then, the resulting waveforms can in principle be contaminated by gauge effects. In contrast, CCE directly provides, by construction, gauge-invariant waveforms at future null infinity. We verify the gauge invariance of CCE by running the same physical simulation using two different gauge conditions. We find that these two gauge conditions produce the same CCE waveforms but show differences in extrapolated-Ψ4 waveforms. We examine data from several different binary configurations and measure the dominant sources of error in the extrapolated-Ψ4 and CCE waveforms. In some cases, we find that NP waveforms extrapolated to infinity agree with the corresponding CCE waveforms to within the estimated error bars. However, we find that in other cases extrapolated and CCE waveforms disagree, most notably for m = 0 "memory" modes.

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“…Some previous comparisons of CCE and extrapolation have been done using binary black hole simulations performed with the finite-difference code Llama [47]. In Refs.…”

Section: Arxiv:13093605v1 [Gr-qc] 13 Sep 2013mentioning

confidence: 99%

Comparing gravitational waveform extrapolation to Cauchy-characteristic extraction in binary black hole simulations

et al. 2013

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“…We distinguish between two different grid setups. For the first setup, we substitute the outermost level (l = 0) by a multipatch cubed-sphere grid [45,[54][55][56]] on which we do not solve the GRHD equations. The spheres allow us to apply constraint preserving boundary conditions [57].…”

Section: B Evolutionsmentioning

confidence: 99%

Gravitational waves and mass ejecta from binary neutron star mergers: Effect of the mass ratio

et al. 2017

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We present new (3+1)D numerical relativity simulations of the binary neutron star (BNS) merger and postmerger phase. We focus on a previously inaccessible region of the binary parameter space spanning the binary's mass-ratio q ∼ 1.00 − 1.75 for different total masses and equations of state, and up to q ∼ 2 for a stiff BNS system. We study the mass-ratio effect on the gravitational waves (GWs) and on the possible electromagnetic emission associated to dynamical mass ejecta. We compute waveforms, spectra, and spectrograms of the GW strain including all the multipoles up to l = 4. The mass-ratio has a specific imprint on the GW multipoles in the late-inspiral-merger signal, and it affects qualitatively the spectra of the merger remnant. The multipole effect is also studied by considering the dependency of the GW spectrograms on the source's sky location. Unequal mass BNSs produce more ejecta than equal mass systems with ejecta masses and kinetic energies depending almost linearly on q. We estimate luminosity peaks and light curves of macronovae events associated to the mergers using a simple approach. For q ∼ 2 the luminosity peak is delayed for several days and can be up to four times larger than for the q = 1 cases. The macronova emission associated with the q ∼ 2 BNS is more persistent in time and could be observed for weeks instead of few days (q = 1) in the near infrared. Finally, we estimate the flux of possible radio flares produced by the interaction of relativistic outflows with the surrounding medium. Also in this case a large q can significantly enhance the emission and delay the peak luminosity. Overall, our results indicate that BNS merger with large mass ratio have EM signatures distinct from the equal mass case and more similar to black hole -neutron star binaries.

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“…The implemented code is designed such that it can run concurrently with our 3+1 evolution code Llama [31,32]. This is important for future application in onthe-fly Cauchy-characteristic extraction, where the metric data will be transported to J + during Cauchy evolution without the need of an additional post-processing step (which is currently the case for the algorithm presented in [2,3]).…”

Section: Remarks On the Computational Implementationmentioning

confidence: 99%

General relativistic null-cone evolutions with a high-order scheme

2013

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Abstract. We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs. This formalism allows asymptotically flat spaces to be represented on a finite, compactified grid, and is thus ideal for far-field studies of gravitational radiation. We have designed an algorithm based on 4th-order radial integration and finite differencing, and a spectral representation of angular components. The scheme can offer significantly more accuracy with relatively low computational cost compared to previous methods as a result of the higher-order discretization. Based on a newly implemented code, we show that the new numerical scheme remains stable and is convergent at the expected order of accuracy.

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High accuracy binary black hole simulations with an extended wave zone

Cited by 152 publications

References 98 publications

Comparing gravitational waveform extrapolation to Cauchy-characteristic extraction in binary black hole simulations

Comparing gravitational waveform extrapolation to Cauchy-characteristic extraction in binary black hole simulations

Gravitational waves and mass ejecta from binary neutron star mergers: Effect of the mass ratio

General relativistic null-cone evolutions with a high-order scheme

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