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- W2052218418 abstract "We extract the Weyl scalars in the quasi-Kinnersley tetrad by finding initially the (gauge-, tetrad-, and background-independent) transverse quasi-Kinnersley frame. This step still leaves two undetermined degrees of freedom: the ratio $|{ensuremath{Psi}}_{0}|/|{ensuremath{Psi}}_{4}|$, and one of the phases (the product $|{ensuremath{Psi}}_{0}|ifmmodecdotelsetextperiodcenteredfi{}|{ensuremath{Psi}}_{4}|$ and the sum of the phases are determined by the so-called Beetle-Burko radiation scalar). The residual symmetry (``spin/boost'') can be removed by gauge fixing of spin coefficients in two steps: First, we break the boost symmetry by requiring that $ensuremath{rho}$ corresponds to a global constant mass parameter that equals the ADM mass (or, equivalently in perturbation theory, that $ensuremath{rho}$ or $ensuremath{mu}$ equal their values in the no-radiation limits), thus determining the two moduli of the Weyl scalars $|{ensuremath{Psi}}_{0}|$, $|{ensuremath{Psi}}_{4}|$, while leaving their phases as yet undetermined. Second, we break the spin symmetry by requiring that the ratio $ensuremath{pi}/ensuremath{tau}$ gives the expected polarization state for the gravitational waves, thus determining the phases. Our method of gauge fixing---specifically its second step---is appropriate for cases for which the Weyl curvature is purely electric. Applying this method to Misner and Brill-Lindquist data, we explicitly find the Weyl scalars ${ensuremath{Psi}}_{0}$ and ${ensuremath{Psi}}_{4}$ in the quasi-Kinnersley tetrad." @default.
- W2052218418 created "2016-06-24" @default.
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- W2052218418 date "2007-04-26" @default.
- W2052218418 modified "2023-09-27" @default.
- W2052218418 title "Towards a wave-extraction method for numerical relativity. V. Estimating the gravitational-wave content of spatial hypersurfaces" @default.
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- W2052218418 doi "https://doi.org/10.1103/physrevd.75.084039" @default.
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