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

Alessandro Nagar

  • Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette, France

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Phys. Rev. D 84, 084028 – Published 14 October, 2011Erratum Phys. Rev. D 88, 089901 (2013)

DOI: https://doi.org/10.1103/PhysRevD.84.084028

Abstract

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian spin-orbit Hamiltonian for spinning binaries [J. Hartung and J. Steinhoff, arXiv:1104.3079.] we improve the effective-one-body description of the dynamics of two spinning black holes by including NNLO effects in the spin-orbit interaction. The calculation that is presented extends to NNLO the next-to-leading order spin-orbit Hamiltonian computed in [T. Damour, P. Jaranowski, and G. Schaefer, Phys. Rev. D 78, 024009 (2008).]. The present effective-one-body 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 next-to-leading order spin-orbit coupling.

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Erratum

Erratum: Effective one-body Hamiltonian of two spinning black holes with next-to-next-to-leading order spin-orbit coupling [Phys. Rev. D 84, 084028 (2011)]

Alessandro Nagar
Phys. Rev. D 88, 089901 (2013)

Article Text

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Outline

Information

Phys. Rev. D 84, 084028– Published 14 October, 2011
  • Received 21 June 2011

© 2011 American Physical Society

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