Tail-induced spin-orbit effect in the gravitational radiation of compact binaries

2011/04/30 by Luc Blanchet, Alessandra Buonanno, Guillaume Faye · 4 citations
Physics and Astronomy · #Aerospace engineering #Astrophysics #Circular orbit #Classical mechanics #Computational physics #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #General relativity #Gravitation #Gravitational energy #Gravitational wave #Numerical relativity #Orbit (dynamics) #Physics #Pulsars and Gravitational Waves Research #Spin (aerodynamics) #gr-qc

paper · pdf · doi:10.1103/physrevd.84.064041

Minor corrections. To be published in Physical Review D

arxiv created 2011/09/12 · openalex publication_date 2011/09/27 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Gravitational waves contain tail effects which are due to the backscattering of linear waves in the curved space-time geometry around the source. In this paper we improve the knowledge and accuracy of the two-body inspiraling post-Newtonian (PN) dynamics and gravitational-wave signal by computing the spin-orbit terms induced by tail effects. Notably, we derive those terms at 3PN order in the gravitational-wave energy flux, and 2.5PN and 3PN orders in the wave polarizations. This is then used to derive the spin-orbit tail effects in the phasing through 3PN order. Our results can be employed to carry out more accurate comparisons with numerical-relativity simulations and to improve the accuracy of analytical templates aimed at describing the whole process of inspiral, merger, and ringdown.

Citations

• Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems
• Spinning test-particles in general relativity. I
• The gravitational interaction: Spin, rotation, and quantum effects-a review
• Multipole expansions of gravitational radiation
• Hereditary effects in gravitational radiation
• The third post-Newtonian gravitational wave polarizations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

Cited by

• I-Love-Q relations in neutron stars and their applications to astrophysics, gravitational waves, and fundamental physics
• Post-Newtonian quasicircular initial orbits for numerical relativity
• Analytic solutions to compact binary inspirals with leading order spin-orbit contribution using the dynamical renormalization group
• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order