Asymptotic frame selection for binary black hole spacetimes II: Post-Newtonian limit

Abstract

One way to select a preferred frame from gravitational radiation is via the principal axes of < L L>, an average of the action of rotation group generators on the Weyl tensor at asymptotic infinity. In this paper we evaluate this time-domain average for a quasicircular binary using approximate (post-Newtonian) waveforms. For nonprecessing unequal-mass binaries, we show the dominant eigenvector of this tensor lies along the orbital angular momentum. For precessing binaries, this frame is not generally aligned with either the orbital or total angular momentum, working to leading order in the spins. The difference between these two quantities grows with time, as the binary approaches the end of the inspiral and both precession and higher harmonics become more significant.

12 pages, 4 figures

References in corpus (8)

• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• The gravitational-wave memory effect
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• A geometric approach to the precession of compact binaries
• Efficient asymptotic frame selection for binary black hole spacetimes using asymptotic radiation
• Nonspinning searches for spinning binaries in ground-based detector data: Amplitude and mismatch predictions in the constant precession cone approximation
• Is J enough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations

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• The final twist: A model of gravitational waves from precessing black-hole binaries through merger and ringdown
• Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
• Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
• Precession during merger 1: Strong polarization changes are observationally accessible features of strong-field gravity during binary black hole merger
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