Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order

2012/09/30 by Alessandra Buonanno, Guillaume Faye, Tanja Hinderer · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Amplitude #Angular momentum #Astrophysical Phenomena and Observations #Astrophysics #Binary number #Classical mechanics #Computational physics #Condensed matter physics #General relativity #Geophysics and Gravity Measurements #Gravitation #Gravitational wave #Harmonic #Mathematics #Newtonian fluid #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Spin (aerodynamics) #Spins #Theory of relativity #Voltage #Waveform #gr-qc

paper · pdf · doi:10.1103/physrevd.87.044009

published as Phys. Rev. D 87, 044009 (2013) · 15 pages, expressions available in mathematica format upon request

openalex publication_date 2013/02/05 · arxiv created 2013/03/18 · arxiv updated 2013/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasicircular, we further provide explicit expressions for the gravitational-wave polarizations and the decomposition into spin-weighted spherical-harmonic modes. Knowledge of the second post-Newtonian spin terms in the waveform could be used to improve the physical content of analytical templates for data analysis of compact binary inspirals and for more accurate comparisons with numerical-relativity simulations.

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Cited by

• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity