Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries

Abstract

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 order, including sub-leading 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.

25 pages. 5 figures. v4: Paper updated to account for an error found in the Feynman rule for one diagram (3c) in our computation. The corrected potential includes one extra term proportional to S_{1(2)}^2. The precession equation remains unaltered

References in corpus (10)

• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• ADM canonical formalism for gravitating spinning objects
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Falsifying Models of New Physics Via WW Scattering
• Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates
• Towers of Gravitational Theories

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