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

DOI10.1088/0264-9381/27/20/205001zbMATH Open1202.83019arXiv1005.5730OpenAlexW2014203239MaRDI QIDQ3057994

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Publication date: 18 November 2010

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1005.5730

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