pith. machine review for the scientific record. sign in

arxiv: 1011.1179 · v3 · submitted 2010-11-04 · 🌀 gr-qc · astro-ph.HE

Recognition: unknown

Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects

Johannes Hartung , Jan Steinhoff
Authors on Pith no claims yet
classification 🌀 gr-qc astro-ph.HE
keywords hamiltoniansspinorderspin-orbitblackcompactholesinteractions
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. N-body next-to-leading order gravitational spin-orbit interaction via effective field theory

    gr-qc 2026-05 conditional novelty 6.0

    The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical tra...