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

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

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Phys. Rev. D 78, 044012 – Published 7 August, 2008Errata Phys. Rev. D 81, 029904 (2010); Phys. Rev. D 81, 029905 (2010)

DOI: https://doi.org/10.1103/PhysRevD.78.044012

Abstract

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.

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Errata

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)]

Rafael A. Porto and Ira Z. Rothstein
Phys. Rev. D 81, 029904 (2010)

Erratum: Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries [Phys. Rev. D 78, 044013 (2008)]

Rafael A. Porto and Ira Z. Rothstein
Phys. Rev. D 81, 029905 (2010)

Comments & Replies

Comment on two recent papers regarding next-to-leading order spin-spin effects in gravitational interaction

Jan Steinhoff and Gerhard Schäfer
Phys. Rev. D 80, 088501 (2009)

See Also

Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries

Rafael A. Porto and Ira Z. Rothstein
Phys. Rev. D 78, 044013 (2008)

Article Text

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Phys. Rev. D 78, 044012– Published 7 August, 2008
  • Received 2 April 2008

© 2008 American Physical Society

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