Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries

Abstract

We extend our previous work devoted to the computation of the next-to-next-to-leading order spin-orbit correction (corresponding to 3.5PN order) in the equations of motion of spinning compact binaries, by: (i) Deriving the corresponding spin-orbit terms in the evolution equations for the spins, the conserved integrals of the motion and the metric regularized at the location of the particles (obtaining also the metric all-over the near zone but with some lower precision); (ii) Performing the orbital reduction of the precession equations, near-zone metric and conserved integrals to the center- of-mass frame and then further assuming quasi-circular orbits (neglecting gravitational radiation reaction). The results are systematically expressed in terms of the spin variables with conserved Euclidean norm instead of the original antisymmetric spin tensors of the pole-dipole formalism. This work paves the way to the future computation of the next-to-next-to-leading order spin-orbit terms in the gravitational-wave phasing of spinning compact binaries.

40 pages; replaced to match the published version; two references added

References in corpus (7)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects

Cited by in corpus (9)

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• Black hole-neutron star binary merger: Dependence on black hole spin orientation and equations of state
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Fast Frequency-domain Waveforms for Spin-Precessing Binary Inspirals
• Detection and Parameter Estimation of Gravitational Waves from Compact Binary Inspirals with Analytical Double-Precessing Templates
• Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
• A more effective coordinate system for parameter estimation of precessing compact binaries from gravitational waves