Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
General Relativity and Quantum Cosmology
2012-08-16 v4 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable in strength to a 3.5PN effect. The result in the present paper in fact completes the knowledge of the post-Newtonian Hamiltonian for binary spinning black holes up to and including 3.5PN. The Hamiltonian is checked via known results for the test-spin case and via the global Poincare algebra with the center-of-mass vector uniquely determined by an ansatz.
Keywords
Cite
@article{arxiv.1104.3079,
title = {Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries},
author = {Johannes Hartung and Jan Steinhoff},
journal= {arXiv preprint arXiv:1104.3079},
year = {2012}
}
Comments
9 pages, v2: revised version, v3: published version, v4: typo corrected