Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries

DOI10.1002/andp.201100163zbMath1326.70028arXiv1107.4294OpenAlexW4232444648MaRDI QIDQ2884266

Jan Steinhoff, Johannes Hartung

Publication date: 24 May 2012

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4294

zbMATH Keywords

canonical formalismcenter-of-mass vectorglobal Poincaré algebra

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Related Items

Next‐to‐next‐to‐leading order post‐Newtonian linear‐in‐spin binary Hamiltonians ⋮ Complete conservative dynamics for inspiralling compact binaries with spins at the fourth post-Newtonian order ⋮ Analytic approximations, perturbation theory, effective field theory methods and their applications ⋮ The effective field theorist's approach to gravitational dynamics ⋮ The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ Modelling gravitational waves from precessing black-hole binaries: progress, challenges and prospects ⋮ Complete Hamiltonian for spinning binary systems at first post-Minkowskian order ⋮ Hamiltonian Formalism for Spinning Black Holes in General Relativity

Cites Work

• xPerm: fast index canonicalization for tensor computer algebra
• Republication of: The dynamics of general relativity
• \(xPert\): Computer algebra for metric perturbation theory
• Canonical formulation of spin in general relativity
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• Dimensional regularization of the gravitational interaction of point masses