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• W2014522010 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 Pad'e-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 $mathbit{ensuremath{sigma}}$. 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 ${stackrel{^}{a}}_{mathrm{LSO}}ensuremath{equiv}c{J}_{mathrm{LSO}}/(G({H}_{mathrm{LSO}}/{c}^{2}{)}^{2})$. 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." @default.
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• W2014522010 date "2008-07-03" @default.
• W2014522010 modified "2023-10-18" @default.
• W2014522010 title "Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling" @default.
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• W2014522010 doi "https://doi.org/10.1103/physrevd.78.024009" @default.
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