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

Barausse, Enrico; Buonanno, A.; Tiec, Alexandre Le

doi:10.1103/PhysRevD.85.064010

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

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Buonanno, A.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Maryland Center for Fundamental Physics & Joint Space-Science Center, Department of Physics, University of Maryland;

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Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0023-F7A1-C

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.