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  The complete non-spinning effective-one-body metric at linear order in the mass ratio

Barausse, E., Buonanno, A., & Tiec, A. L. (2012). The complete non-spinning effective-one-body metric at linear order in the mass ratio. Physical Review D, 85(6): 064010. doi:10.1103/PhysRevD.85.064010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-F7A1-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-2640-1
Genre: Journal Article

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1111.5610.pdf (Preprint), 475KB
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 Creators:
Barausse, Enrico, Author
Buonanno, A.1, 2, Author              
Tiec, Alexandre Le, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:1933290              
2Maryland Center for Fundamental Physics & Joint Space-Science Center, Department of Physics, University of Maryland, escidoc:persistent22              

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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: Using the main result of a companion paper, in which the binding energy of a circular-orbit non-spinning compact binary system is computed at leading-order beyond the test-particle approximation, the exact expression of the effective-one-body (EOB) metric component g^eff_tt is obtained through first order in the mass ratio. Combining these results with the recent gravitational self-force calculation of the periastron advance for circular orbits in the Schwarzschild geometry, the EOB metric component g^eff_rr is also determined at linear order in the mass ratio. These results assume that the mapping between the real and effective Hamiltonians at the second and third post-Newtonian (PN) orders holds at all PN orders. Our findings also confirm the advantage of resumming the PN dynamics around the test-particle limit if the goal is to obtain a flexible model that can smoothly connect the test-mass and equal-mass limits.

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 Dates: 2011-11-232012-02-292012
 Publication Status: Published in print
 Pages: 11 pages, 2 figures; appendix generalized to include the logarithmic contributions in the post-Newtonian Hamiltonian. Results unchanged. Matches version to be published in Phys. Rev. D
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 Identifiers: arXiv: 1111.5610
DOI: 10.1103/PhysRevD.85.064010
URI: http://arxiv.org/abs/1111.5610
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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: 85 (6) Sequence Number: 064010 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258