期刊
ANNALEN DER PHYSIK
卷 523, 期 10, 页码 783-790出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201100094
关键词
Post-Newtonian approximation; canonical formalism; approximation methods; equations of motion; binary stars
资金
- Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group [GRK 1523]
- Collaborative Research Center [SFB/TR7]
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. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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