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Next‐to‐next‐to‐leading order post‐Newtonian spin‐orbit Hamiltonian for self‐gravitating binaries |
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| Authors: | J. Hartung J. Steinhoff |
| Affiliation: | 1. Theoretisch‐Physikalisches Institut, Friedrich‐Schiller‐Universit?t, Max‐Wien‐Platz 1, 07743 Jena, GermanyPhone: +49 3641 947 106, Fax: +49 3641 947 102;2. Theoretisch‐Physikalisches Institut, Friedrich‐Schiller‐Universit?t, Max‐Wien‐Platz 1, 07743 Jena, Germany |
| 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 Poincaré algebra with the center‐of‐mass vector uniquely determined by an ansatz. |
| Keywords: | Post‐Newtonian approximation canonical formalism approximation methods equations of motion binary stars. |