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  An improved effective-one-body Hamiltonian for spinning black-hole binaries

Barausse, E., & Buonanno, A. (2010). An improved effective-one-body Hamiltonian for spinning black-hole binaries. Physical Review D, 81: 084024. doi:10.1103/PhysRevD.81.084024.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-83D6-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0017-E72D-1
Genre: Journal Article

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 Creators:
Barausse, Enrico1, Author
Buonanno, Alessandra1, 2, Author              
Affiliations:
1University of Maryland, ou_persistent22              
2Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO, Astrophysics, Galaxy Astrophysics, astro-ph.GA
 Abstract: Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning black-hole binaries. As in previous descriptions, we endow the effective particle not only with a mass m, but also with a spin S*. Thus, the effective particle interacts with the effective Kerr background (having spin S_Kerr) through a geodesic-type interaction and an additional spin-dependent interaction proportional to S*. When expanded in post-Newtonian (PN) orders, the EOB Hamiltonian reproduces the leading order spin-spin coupling and the spin-orbit coupling through 2.5PN order, for any mass-ratio. Also, it reproduces all spin-orbit couplings in the test-particle limit. Similarly to the test-particle limit case, when we restrict the EOB dynamics to spins aligned or antialigned with the orbital angular momentum, for which circular orbits exist, the EOB dynamics has several interesting features, such as the existence of an innermost stable circular orbit, a photon circular orbit, and a maximum in the orbital frequency during the plunge subsequent to the inspiral. These properties are crucial for reproducing the dynamics and gravitational-wave emission of spinning black-hole binaries, as calculated in numerical relativity simulations.

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 Dates: 2009-12-172010-02-262010
 Publication Status: Published in print
 Pages: 22 pages, 9 figures. Minor changes to match version accepted for publication in PRD
 Publishing info: -
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 Rev. Method: -
 Identifiers: arXiv: 0912.3517
DOI: 10.1103/PhysRevD.81.084024
URI: http://arxiv.org/abs/0912.3517
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 81 Sequence Number: 084024 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258