Angular velocity of gravitational radiation from precessing binaries and the corotating frame

2013/02/28 by Michael Boyle · 110 citations
Earth and Planetary Sciences · Physics and Astronomy · #Angular velocity #Astronomy #Astrophysics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Frame (networking) #Geophysics and Gravity Measurements #Gravitation #Gravitational wave #Optics #Physics #Pulsars and Gravitational Waves Research #Radiation #gr-qc

paper · pdf · doi:10.1103/physrevd.87.104006

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 87(10) (American Physical Society) · Accepted by PRD; added a few clarifications

arxiv created 2013/04/10 · openalex publication_date 2013/05/03 · arxiv updated 2017/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This paper defines an angular velocity for time-dependent functions on the sphere and applies it to gravitational waveforms from compact binaries. Because it is geometrically meaningful and has a clear physical motivation, the angular velocity is uniquely useful in helping to solve an important---and largely ignored---problem in models of compact binaries: the inverse problem of deducing the physical parameters of a system from the gravitational waves alone. It is also used to define the corotating frame of the waveform. When decomposed in this frame, the waveform has no rotational dynamics and is therefore as slowly evolving as possible. The resulting simplifications lead to straightforward methods for accurately comparing waveforms and constructing hybrids. As formulated in this paper, the methods can be applied robustly to both precessing and nonprecessing waveforms, providing a clear, comprehensive, and consistent framework for waveform analysis. Explicit implementations of all these methods are provided in accompanying computer code.

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• Where angular momentum goes in a precessing black-hole binary
• Neural network potential from bispectrum components: A case study on crystalline silicon