Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects

Johannes Hartung and Jan Steinhoff
Phys. Rev. D 83, 044008 – Published 2 February 2011
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Abstract

We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b) gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian completes the knowledge of Hamiltonians up to and including 2.5 post Newtonian for the general relativistic three-body problem. The new Hamiltonians include highly nontrivial three-body interactions, in contrast to the leading order consisting of two-body interactions only. This may be important for the study of effects like Kozai resonances in mergers of black holes with binary black holes. The derivation was done via two independent methods giving fully consistent results.

  • Received 16 November 2010

DOI:https://doi.org/10.1103/PhysRevD.83.044008

© 2011 American Physical Society

Authors & Affiliations

Johannes Hartung* and Jan Steinhoff

  • Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany

  • *johannes.hartung@uni-jena.de
  • jan.steinhoff@uni-jena.de

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Issue

Vol. 83, Iss. 4 — 15 February 2011

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