Journal
PHYSICAL REVIEW LETTERS
Volume 108, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.131103
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Funding
- NSF [PHY-0903631]
- NASA [NNX09AI81G]
- Maryland Center for Fundamental Physics
- Division Of Physics
- Direct For Mathematical & Physical Scien [903631] Funding Source: National Science Foundation
- NASA [115052, NNX09AI81G] Funding Source: Federal RePORTER
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Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle approximation. By minimizing Ed (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 nonspinning 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.
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