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

By T. Damour, P. Jaranowski, G. Schāfer. 2008

133 citations recorded by the source corpus.

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 Pade-resummed coefficients) which depends on the choice of some basic 'effective spin vector' S{sub eff}, and which is deformed by comparable-mass effects; and (iv) an additional effective spin-orbit interaction term involving another spin vector {sigma}. 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 a{sub LSO}{identical_to}cJ{sub LSO}/(G(H{sub LSO}/c{sup 2}){sup 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.

Subfields: Astronomy and Astrophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/f3fb243b00305ae98c9eff7a115339a1d8edbf99

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In Astronomy and Astrophysics

1. Ilya Mandel
2. D. Holz
3. Maya Fishbach
4. Bernard F. Schutz
5. Michela Mapelli
6. E. Thrane
7. Luca Baiotti
8. C. Berry

In Ocean Engineering

1. E. Thrane
2. Colm Talbot
3. K. Chatziioannou
4. D. Holz
5. B. Farr
6. Maya Fishbach
7. Rana X. Adhikari
8. A. Nagar

Citations in the corpus

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs (2018, background): “[40] Thibault Damour, Piotr Jaranowski, and Gerhard Schaefer, “Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling,” Phys.”
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian (2016, background): “[103] and the corotating frame addition in Eq.”
• Observables and amplitudes for spinning particles and black holes (2019, unknown): “Incorporating spin into a major theoretical platform for these experiments, the effective one-body formalism [16, 17], is well established in the PN approximation [18–24], and was recently extended to the PM approximation by means of a gauge-invariant spin holonomy [25].”
• Binary Black Hole Mergers in the First Advanced LIGO Observing Run (2016, methodology): “[27] T.”