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Journal Article

Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons127862

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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Fulltext (public)

1111.5609.pdf
(Preprint), 250KB

PhysRevLett.108.131103.pdf
(Any fulltext), 237KB

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Citation

Tiec, A. L., Barausse, E., & Buonanno, A. (2012). Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems. Physical Review Letters, 108(13): 131103. doi:10.1103/PhysRevLett.108.131103.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0023-F7A6-2
Abstract
Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle approximation. By minimizing E(Omega) we recover the exact frequency shift of the Schwarzschild innermost stable circular orbit induced by the conservative piece of the gravitational self-force. Comparing our results for the coordinate invariant relation E(J) to those recently obtained from numerical simulations of comparable-mass non-spinning black-hole binaries, we find a remarkably good agreement, even in the strong-field regime. Our findings confirm that the domain of validity of perturbative calculations may extend well beyond the extreme mass-ratio limit.