Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order

2021/03/26 by Gihyuk Cho, Brian Pardo, Rafael A. Porto
Physics and Astronomy · #Angular momentum #Classical mechanics #Condensed matter physics #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #Gravitation #Gravitational wave #Multipole expansion #Observable #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Spins #gr-qc

paper · pdf · doi:10.1103/physrevd.104.024037

published as Phys. Rev. D 104, 024037 (2021) · 39 pages. 1 ancillary file (wl format)

arxiv created 2021/03/26 · openalex publication_date 2021/07/14 · arxiv updated 2021/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Using the gravitational potential and source multipole moments bilinear in the spins, first computed to next-to-leading order (NLO) in the post-Newtonian expansion within the effective field theory (EFT) framework, we complete here the derivation of the dynamical invariants and flux-balance equations, including energy and angular momentum. We use these results to calculate spin-spin effects in the orbital frequency and accumulated phase to NLO for circular orbits. We also derive the linear momentum and center-of-mass fluxes and associated kick velocity, to the highest relevant post-Newtonian order. We explicitly demonstrate the equivalence between the quadratic-in-spin source multipoles obtained using the EFT formalism and those rederived later with more traditional tools, leading to perfect agreement for spin-spin radiative observables to NLO among both approaches.

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