Next to leading order spin-orbit effects in the motion of inspiralling compact binaries

Details Next to leading order spin-orbit effects in the motion of inspiralling compact binaries Next to leading order spin-orbit effects in the motion of inspiralling compact binaries

2010-05-31

arxiv.org/abs/1005.5730v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 4 figures, revtex4. v2: minor changes, refs. added. To appear in Class. Quant. Grav

Scientific paper

Using effective field theory (EFT) techniques we calculate the next-to-leading order (NLO) spin-orbit contributions to the gravitational potential of inspiralling compact binaries. We use the covariant spin supplementarity condition (SSC), and explicitly prove the equivalence with previous results by Faye et al. in arXiv:gr-qc/0605139. We also show that the direct application of the Newton-Wigner SSC at the level of the action leads to the correct dynamics using a canonical (Dirac) algebra. This paper then completes the calculation of the necessary spin dynamics within the EFT formalism that will be used in a separate paper to compute the spin contributions to the energy flux and phase evolution to NLO.

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