Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
arXiv:1006.4139 · doi:10.1103/PhysRevD.82.104004
Abstract
We use an effective field theory (EFT) approach to calculate the next to leading order (NLO) gravitational spin-orbit interaction between two spinning compact objects. The NLO spin-orbit interaction provides the most computationally complex sector of the NLO spin effects, previously derived within the EFT approach. In particular, it requires the inclusion of non-stationary cubic self-gravitational interaction, as well as the implementation of a spin supplementary condition (SSC) at higher orders. The EFT calculation is carried out in terms of the non-relativistic gravitational field parametrization, making the calculation more efficient with no need to rely on automated computations, and illustrating the coupling hierarchy of the different gravitational field components to the spin and mass sources. Finally, we show explicitly how to relate the EFT derived spin results to the canonical results obtained with the ADM Hamiltonian formalism. This is done using non-canonical transformations, required due to the implementation of covariant SSC, as well as canonical transformations at the level of the Hamiltonian, with no need to resort to the equations of motion or the Dirac brackets.
27 pages, revtex4-1, 4 figures; v2: minor editing made; v3: published
References in corpus (13)
- Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
- Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
- Effective field theory calculation of second post-Newtonian binary dynamics
- Non-Relativistic Gravitation: From Newton to Einstein and Back
- ADM canonical formalism for gravitating spinning objects
- Classical Effective Field Theory and Caged Black Holes
- Les Houches Lectures on Effective Field Theories and Gravitational Radiation
- Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
- Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
- Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
- The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
- Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
- Comment on recent papers regarding next-to-leading order spin-spin effects in gravitational interaction