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Next‐to‐next‐to‐leading order post‐Newtonian spin(1)‐spin(2) Hamiltonian for self‐gravitating binaries |
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| Authors: | J Hartung J Steinhoff |
| Institution: | 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;3. Centro Multidisciplinar de Astrofísica (CENTRA), Departamento de Física, Instituto Superior Técnico (IST), Universidade Técnica de Lisboa, Avenida Rovisco Pais 1, 1049‐001 Lisboa, Portugal |
| Abstract: | We present the next‐to‐next‐to‐leading order post‐Newtonian (PN) spin(1)‐spin(2) Hamiltonian for two self‐gravitating spinning compact objects. If both objects are rapidly rotating, then the corresponding interaction is comparable in strength to a 4PN effect. The Hamiltonian is checked 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 |