Numerical Relativity for Gravitational Wave Source Modelling

Zhao, Tianyu; Cao, Zhoujian; Lin, Chun-Yu; Yo, Hwei-Jang

doi:10.1007/978-981-15-4702-7_34-1

Cited by 2 publications

(2 citation statements)

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“…The only reliable way to obtain precise solutions to Einstein's field equations in this regime is to use numerical relativity, which involves solving the full nonlinear equations on high-performance computers. This breakthrough was achieved in 2005 after decades of efforts [22]. Numerical relativity simulations of binary black hole mergers are essential for modeling the gravitational wave signals emitted by these systems during their late inspiral, merger and ringdown phases.…”

Section: Discussionmentioning

confidence: 99%

“…The partial reason for such a fact is the lack of an accurate waveform template for supernovae gravitational waves. Before the breakthrough of numerical relativity [18][19][20][21][22], the waveform template problem was treated mainly via post-Newtonian approximation [23]. As an enhanced post-Newtonian approximation method, the effective-one-body theory shows better convergent behavior [24].…”

Section: Introductionmentioning

confidence: 99%

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Accuracy of numerical relativity waveforms with respect to space-based gravitational wave detectors

Wang,

Zhao,

Cao

2024

Commun. Theor. Phys.

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The same to laser interferometer gravitational-wave observatory (LIGO), matched filtering technique will be critical to data analysis of gravitational wave detection by space-based detectors including LISA, Taiji and Tianqin. Waveform templates are basis for such matched filtering technique. In order to construct ready-to-use waveform templates, numerical relativity waveforms are start point. So the accuracy issue of numerical relativity waveforms is critically important. There are many investigations about this issue with respect to LIGO. But unfortunately there are few results on this issue with respect to space-based detectors. The current paper investigates this problem. Our results indicate that the existing numerical relativity waveforms are as accurate as 99\% with respect to space-based detectors including LISA, Taiji and Tianqin. Such accuracy level is comparable to the one with respect to LIGO.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Accuracy of numerical relativity waveforms with respect to space-based gravitational wave detectors

Wang,

Zhao,

Cao

2024

Commun. Theor. Phys.

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Aberration of gravitational waveforms by peculiar velocity

Bonvin

Cusin

Pitrou

et al. 2023

Monthly Notices of the Royal Astronomical Society

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One key prediction of General Relativity is that gravitational waves are emitted with two independent polarisations. Any observation of extra polarisation mode, spin-1 or spin-0, is consequently considered a smoking gun for deviations from General Relativity. In this paper, we show that the velocity of merging binaries with respect to the observer gives rise to spin-1 polarisation in the observer frame even in the context of General Relativity. These are pure projection effects, proportional to the plus and cross polarisations in the source frame, hence they do not correspond to new degrees of freedom. We demonstrate that the spin-1 modes can always be rewritten as pure spin-2 modes coming from an aberrated direction. Since gravitational waves are not isotropically emitted around binary systems, this aberration modifies the apparent orientation of the binary system with respect to the observer: the system appears slightly rotated due to the source velocity. Fortunately, this bias does not propagate to other parameters of the system (and therefore does not spoil tests of General Relativity), since the impact of the velocity can be fully reabsorbed into new orientation angles.

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Numerical Relativity for Gravitational Wave Source Modelling

Cited by 2 publications

References 159 publications

Accuracy of numerical relativity waveforms with respect to space-based gravitational wave detectors

Accuracy of numerical relativity waveforms with respect to space-based gravitational wave detectors

Aberration of gravitational waveforms by peculiar velocity

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