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arXiv · 1106.4349

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

Alessandro Nagar
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Abstract

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries \cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the dynamics of two spinning black-holes to NNLO in the spin-orbit interaction. The calculation that is presented extends to NNLO the next-to-leading order (NLO) spin-orbit Hamiltonian computed in Ref. \cite{Damour:2008qf}. The present EOB Hamiltonian reproduces the spin-orbit coupling through NNLO in the test-particle limit case. In addition, in the case of spins parallel or antiparallel to the orbital angular momentum, when circular orbits exist, we find that the inclusion of NNLO spin-orbit terms moderates the effect of the NLO spin-orbit coupling.

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Alessandro Nagar. 2011-06-21. Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling. https://doi.org/10.1103/physrevd.84.084028

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