Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies

Details Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies

1997-03-26

arxiv.org/abs/gr-qc/9703075v1

Phys.Rev. D55 (1997) 6030-6053; Erratum-ibid. D57 (1998) 6562

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, REVTeX, no figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.55.6030

Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN terms in the equation of motion - using the refined balance method proposed by Iyer and Will. We explore critically the features of their construction and illustrate them by contrast to other possible variants. The equations of motion are valid for general binary orbits and for a class of coordinate gauges. The limiting cases of circular orbits and radial infall are also discussed.

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