Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling

Simple item page
dc.creatorDamour, Thibault
dc.creatorJaranowski, Piotr
dc.creatorSchäfer, Gerhard
dc.date2007-11-07
dc.date2008-04-16
dc.date.accessioned2026-07-07T11:38:36Z
dc.date.available2026-07-07T11:38:36Z
dc.descriptionA Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We use a novel approach (valid to linear order in the spins), which starts from the second-post-Newtonian metric (in ADM coordinates) generated by two spinless bodies, and computes the next-to-leading order precession, in this metric, of suitably redefined ``constant-magnitude'' 3-dimensional spin vectors ${\bf S}_1$, ${\bf S}_2$. We prove the Poincaré invariance of our Hamiltonian by explicitly constructing ten phase-space generators realizing the Poincaré algebra. A remarkable feature of our approach is that it allows one to derive the {\it orbital} equations of motion of spinning binaries to next-to-leading order in spin-orbit coupling without having to solve Einstein's field equations with a spin-dependent stress tensor. We show that our Hamiltonian (orbital and spin) dynamics is equivalent to the dynamics recently obtained by Faye, Blanchet, and Buonanno, by solving Einstein's equations in harmonic coordinates.
dc.descriptionFew minor corrections made, 2 references added, some misprints removed
dc.identifierhttps://arxiv.org/abs/0711.1048
dc.identifierhttp://arxiv.org/abs/0711.1048
dc.identifierPhys.Rev.D77:064032,2008
dc.identifierdoi:10.1103/PhysRevD.77.064032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199621
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
dc.typetext

Files

Collections

arXiv