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

2011; Wiley; Volume: 523; Issue: 10 Linguagem: Inglês

10.1002/andp.201100094

1521-3889

Johannes Hartung, Jan Steinhoff,

Cosmology and Gravitation Theories

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.