Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries

Abstract

We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable in strength to a 3.5PN effect. The result in the present paper in fact completes the knowledge of the post-Newtonian Hamiltonian for binary spinning black holes up to and including 3.5PN. The Hamiltonian is checked via known results for the test-spin case and via the global Poincare algebra with the center-of-mass vector uniquely determined by an ansatz.

arXiv comment9 pages, v2: revised version, v3: published version, v4: typo corrected

References in corpus (38)

• The Dynamics of General Relativity
• An Effective Field Theory of Gravity for Extended Objects
• Dimensional regularization of the gravitational interaction of point masses
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Effective One Body description of tidal effects in inspiralling compact binaries
• 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes
• Post-Newtonian Gravitational Radiation and Equations of Motion via Direct Integration of the Relaxed Einstein Equations. I. Foundations
• xPerm: fast index canonicalization for tensor computer algebra
• An improved effective-one-body Hamiltonian for spinning black-hole binaries
• xPert: Computer algebra for metric perturbation theory
• 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
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
• Hamiltonian of a spinning test-particle in curved spacetime
• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
• The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part
• Effective field theory calculation of second post-Newtonian binary dynamics
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Spin-squared Hamiltonian of next-to-leading order gravitational interaction
• Next-to-leading order gravitational spin1-spin2 coupling with Kaluza-Klein reduction
• ADM canonical formalism for gravitating spinning objects
• The binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism
• Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
• Canonical Formulation of Spin in General Relativity
• Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
• Three-body equations of motion in successive post-Newtonian approximations
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Canonical formulation of self-gravitating spinning-object systems
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
• Comment on recent papers regarding next-to-leading order spin-spin effects in gravitational interaction
• Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
• Canonical formulation of gravitating spinning objects at 3.5 post-Newtonian order

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