Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
arXiv:1011.1179 · doi:10.1103/PhysRevD.83.044008
Abstract
We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b) gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian completes the knowledge of Hamiltonians up to and including 2.5PN for the general relativistic three-body problem. The new Hamiltonians include highly nontrivial three-body interactions, in contrast to the leading order consisting of two-body interactions only. This may be important for the study of effects like Kozai resonances in mergers of black holes with binary black holes.
13 pages, 1 Mathematica source file, v2: submitted version, v3: published version, some minor corrections
References in corpus (15)
- Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
- xPerm: fast index canonicalization for tensor computer algebra
- Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
- Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
- Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
- ADM canonical formalism for gravitating spinning objects
- Foundations of multiple black hole evolutions
- 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
- Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries
- Numerical evolution of multiple black holes with accurate initial data
- Three-body equations of motion in successive post-Newtonian approximations
- The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
- Choreographic solution to the general relativistic three-body problem
- Comment on recent papers regarding next-to-leading order spin-spin effects in gravitational interaction