Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-New

By Rafael A. Porto, I. Rothstein. 2008

166 citations recorded by the source corpus.

We use effective field theory techniques to compute the potentials due to spin-spin and spin-orbit effects, from which the O(S{sub 1}S{sub 2}) contribution to the motion of spinning compact binaries to third Post-Newtonian (PN) order follow. We use a formalism which allows us to impose the spin supplementary condition (SSC) in a canonical framework to all orders in the PN expansion. We explicitly show the equivalence with our previous results, obtained using the Newton-Wigner SSC at the level of the action for spin-spin and spin-orbit potentials reported in arXiv:gr-qc/0604099 and arXiv:0712.2032 , respectively.

View Paper: https://www.semanticscholar.org/paper/b5da000979ce1addebee035e279a866c0f797424

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Citations in the corpus

• Classical black hole scattering from a worldline quantum field theory (2020, background): “[51–57] for important early EFT work) and radiation [58–63].”
• Probing ultralight bosons with binary black holes (2018, background): “At leading order, the quadrupole term leads to the following additional term in the worldline effective action [12,28,33,34]”
• Post-Minkowskian effective field theory for conservative binary dynamics (2020, unknown): “[38–51].”
• The tune of love and the nature(ness) of spacetime (2016, background): “This entails also spin effects and the associated finite size terms [15, 33, 35–40, 56–58].”
• The Effective Field Theorist's Approach to Gravitational Dynamics (2016, unknown): “The λμ parameters are fixed by imposing the preservation of the SSC, V̇ μ = 0, and we obtain [74, 75] R = − ( m √ u2 + 1 2 ω μ Sabu μ + 1 2m RναρσS uSuβ + · · · ) , (8.”
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, methodology): “If we follow the Routhian approach in [17], then we should derive the EOM of the spin”
• Observables and amplitudes for spinning particles and black holes (2019, methodology): “Meanwhile, calculating higher-order PN spin corrections has been a particular strength of the EFT treatment of PN dynamics [13, 28–33]; for reviews see [34, 35].”
• From boundary data to bound states (2019, background): “The inclusion of spin, both in the EFT approach [71–78] and in scattering amplitudes [40, 44, 48, 53, 79–82], introduces rich new structures.”