Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
Corresponding Author
J. Hartung
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
Phone: +49 3641 947 106, Fax: +49 3641 947 102
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, GermanySearch for more papers by this authorJ. Steinhoff
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
Centro Multidisciplinar de Astrofísica (CENTRA), Departamento de Física, Instituto Superior Técnico (IST), Universidade Técnica de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
Search for more papers by this authorCorresponding Author
J. Hartung
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
Phone: +49 3641 947 106, Fax: +49 3641 947 102
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, GermanySearch for more papers by this authorJ. Steinhoff
Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
Centro Multidisciplinar de Astrofísica (CENTRA), Departamento de Física, Instituto Superior Técnico (IST), Universidade Técnica de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
Search for more papers by this authorAbstract
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.
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