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

By Rafael A. Porto, I. Rothstein. 2008

182 citations recorded by the source corpus.

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third post-Newtonian (PN) order, including subleading self-induced finite size effects. This result represents the last ingredient to complete the relevant spin potentials to 3PN order from which the equations of motion follow via a canonical formalism. As an example we include the precession equation.

View Paper: https://www.semanticscholar.org/paper/9583c2c5617b796ff46f6b5a74685fe47bc1e50f

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Citations in the corpus

• Post-Minkowskian effective field theory for conservative binary dynamics (2020, unknown): “[38–51].”
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, methodology): “where the quadrupolar deformation constant due to spin from [54], introduced in [38] as the Wilson coefficient CES2 , equals unity in the black hole case.”
• The tune of love and the nature(ness) of spacetime (2016, background): “This entails also spin effects and the associated finite size terms [15, 33, 35–40, 56–58].”
• The Effective Field Theorist's Approach to Gravitational Dynamics (2016, result): “The λμ parameters are fixed by imposing the preservation of the SSC, V̇ μ = 0, and we obtain [74, 75] R = − ( m √ u2 + 1 2 ω μ Sabu μ + 1 2m RναρσS uSuβ + · · · ) , (8.”
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• Classical black hole scattering from a worldline quantum field theory (2020, background): “[51–57] for important early EFT work) and radiation [58–63].”