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Journal Article

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

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##### Fulltext (public)

1111.5609.pdf

(Preprint), 250KB

PhysRevLett.108.131103.pdf

(Any fulltext), 237KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.