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 Ω, at leading order beyond the test-particle approximation. By minimizing E(Ω) 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.

Gravitational self-force correction to the binding energy of compact binary systems / Le Tiec, A; Barausse, E; Buonanno, A. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 108:13(2012), pp. 1-5. [10.1103/PhysRevLett.108.131103]

Gravitational self-force correction to the binding energy of compact binary systems

Barausse E;
2012

Abstract

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 Ω, at leading order beyond the test-particle approximation. By minimizing E(Ω) 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.
108
13
1
5
131103
http://link.aps.org/doi/10.1103/PhysRevLett.108.131103
https://arxiv.org/abs/1111.5609
Le Tiec, A; Barausse, E; Buonanno, A
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/89670
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