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.

arXiv comment40 pages; replaced to match the published version; two references added

References in corpus (40)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• An Effective Field Theory of Gravity for Extended Objects
• The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105
• A precise determination of angular momentum in the black hole candidate GRO J1655-40
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
• Spin effects in the inspiral of coalescing compact binaries
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Gravitational-Wave Inspiral of Compact Binary Systems to 7/2 Post-Newtonian Order
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• The Extreme Spin of the Black Hole in Cygnus X-1
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
• Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
• Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order
• Third post-Newtonian dynamics of compact binaries: Equations of motion in the center-of-mass frame
• The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
• Hadamard Regularization
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. III. Radiation reaction for binary systems with spinning bodies
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Tail-induced spin-orbit effect in the gravitational radiation of compact binaries
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
• Suzaku Observations of 4U 1957+11: Potentially the Most Rapidly Spinning Black Hole in (the Halo of) the Galaxy
• Non-precessional spin-orbit effects on gravitational waves from inspiraling compact binaries to second post-Newtonian order
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
• Gravitational waves from spinning compact object binaries: New post-Newtonian results

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• Inferring spin tilts at formation from gravitational wave observations of binary black holes: Interfacing precession-averaged and orbit-averaged spin evolution
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• The second post-Newtonian motion in Reissner-Nordström spacetime
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• GPU-accelerated LISA parameter estimation with full time domain response
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
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