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Improving Gravitational Wave Extraction Using Weyl Characteristic Fields


Pfeiffer,  Harald P.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Iozzo, D. A. B., Boyle, M., Deppe, N., Moxon, J., Scheel, M. A., Kidder, L. E., et al. (in preparation). Improving Gravitational Wave Extraction Using Weyl Characteristic Fields.

Cite as: http://hdl.handle.net/21.11116/0000-0007-7327-C
We present a detailed methodology for extracting the full set of Newman-Penrose Weyl scalars from numerically generated spacetimes without requiring a tetrad that is completely orthonormal or perfectly aligned to the principal null directions. We also describe an extrapolation technique for computing the Weyl scalars' contribution at asymptotic null infinity in post-processing. These methods have continued to be used to produce $\Psi_4$ and $h$ waveforms for the Simulating eXtreme Spacetimes Waveform Catalog and now have been expanded to produce the entire set of Weyl scalars. These new waveform quantities are critical for the future of gravitational wave astronomy in order to understand the finite-amplitude gauge differences that can occur in numerical waveforms. We also present a new analysis of the accuracy of waveforms produced by the Spectral Einstein Code. While ultimately we expect Cauchy Characteristic Extraction to yield more accurate waveforms, the extraction techniques described here are far easier to implement and have already proven to be a viable way to produce production-level waveforms that can meet the demands of current gravitational-wave detectors.