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Phys. Rev. D 78, 044012 (2008) [14 pages]

Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion

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Rafael A. Porto1 and Ira Z. Rothstein2
1Department of Physics, University of California Santa Barbara, California 93106, USA
2Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

See Also: Erratum, Erratum

Received 2 April 2008; published 7 August 2008

We use effective field theory techniques to compute the potentials due to spin-spin and spin-orbit effects, from which the O(S1S2) contribution to the motion of spinning compact binaries to third Post-Newtonian (PN) order follow. We use a formalism which allows us to impose the spin supplementary condition (SSC) in a canonical framework to all orders in the PN expansion. We explicitly show the equivalence with our previous results, obtained using the Newton-Wigner SSC at the level of the action for spin-spin and spin-orbit potentials reported in arXiv:gr-qc/0604099 and arXiv:0712.2032 , respectively.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.044012
DOI:
10.1103/PhysRevD.78.044012
PACS:
04.25.Nx, 04.30.Db, 11.10.Gh, 11.27.+d

See Also

Erratum: Rafael A. Porto and Ira Z. Rothstein, Erratum: Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion [Phys. Rev. D 78, 044012 (2008)], Phys. Rev. D 81, 029904 (2010).

Erratum: Rafael A. Porto and Ira Z. Rothstein, Erratum: Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries [Phys. Rev. D 78, 044013 (2008)], Phys. Rev. D 81, 029905 (2010).

Comment: Jan Steinhoff and Gerhard Schäfer, Comment on two recent papers regarding next-to-leading order spin-spin effects in gravitational interaction, Phys. Rev. D 80, 088501 (2009).

See Also: Rafael A. Porto and Ira Z. Rothstein, Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries, Phys. Rev. D 78, 044013 (2008).

 
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