1104.3079 (Johannes Hartung et al.)

Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for
self-gravitating binaries    [PDF]

Johannes Hartung, Jan Steinhoff

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.

View original: http://arxiv.org/abs/1104.3079