English

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

General Relativity and Quantum Cosmology 2011-10-05 v2 High Energy Astrophysical Phenomena High Energy Physics - Theory

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 Poincare algebra with the center-of-mass vector uniquely determined by an ansatz.

Keywords

Cite

@article{arxiv.1107.4294,
  title  = {Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries},
  author = {Johannes Hartung and Jan Steinhoff},
  journal= {arXiv preprint arXiv:1107.4294},
  year   = {2011}
}

Comments

7 pages, v2: published version