Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries

Authors

  • J. Hartung,

    Corresponding author
    1. Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
    • Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
    Search for more papers by this author
    • Phone: +49 3641 947 106, Fax: +49 3641 947 102

  • J. Steinhoff

    1. Theoretisch–Physikalisches Institut, Friedrich–Schiller–Universität, Max-Wien-Platz 1, 07743 Jena, Germany
    2. 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 author

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.

Ancillary