Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling

Abstract

Using a recent, novel Hamiltonian formulation of the gravitational interaction of spinning binaries, we extend the Effective One Body (EOB) description of the dynamics of two spinning black holes to next-to-leading order (NLO) in the spin-orbit interaction. The spin-dependent EOB Hamiltonian is constructed from four main ingredients: (i) a transformation between the ``effective'' Hamiltonian and the ``real'' one, (ii) a generalized effective Hamilton-Jacobi equation involving higher powers of the momenta, (iii) a Kerr-type effective metric (with Padé-resummed coefficients) which depends on the choice of some basic ``effective spin vector'' ${\mathbf{S}}_{\mathrm{eff}}$, and which is deformed by comparable-mass effects, and (iv) an additional effective spin-orbit interaction term involving another spin vector $\bsigma$. As a first application of the new, NLO spin-dependent EOB Hamiltonian, we compute the binding energy of circular orbits (for parallel spins) as a function of the orbital frequency, and of the spin parameters. We also study the characteristics of the last stable circular orbit: binding energy, orbital frequency, and the corresponding dimensionless spin parameter ${\hat{a}}_{\mathrm{LSO}}\equiv c{J}_{\mathrm{LSO}}/(G(H_{\mathrm{LSO}}/c^2{)}^2)$. We find that the inclusion of NLO spin-orbit terms has a significant ``moderating'' effect on the dynamical characteristics of the circular orbits for large and parallel spins.

arXiv commentREVTeX, 22 pages, 7 figures

References in corpus (26)

• Effective one-body approach to general relativistic two-body dynamics
• Transition from inspiral to plunge in binary black hole coalescences
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Spinning-black-hole binaries: The orbital hang up
• Dimensional regularization of the gravitational interaction of point masses
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Estimating the final spin of a binary black hole coalescence
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Spin Flips and Precession in Black-Hole-Binary Mergers
• High-spin binary black hole mergers
• Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• Faithful Effective-One-Body waveforms of equal-mass coalescing black-hole binaries
• The final spin from the coalescence of aligned-spin black-hole binaries
• Binary Black Holes: Spin Dynamics and Gravitational Recoil
• 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
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Innermost circular orbit of binary black holes at the third post-Newtonian approximation
• Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins
• Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime
• Final spin of a coalescing black-hole binary: an Effective-One-Body approach

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