0712.1515 (Steven Hergt et al.)

Higher-order-in-spin interaction Hamiltonians for binary black holes
from source terms of Kerr geometry in approximate ADM coordinates    [PDF]

Steven Hergt, Gerhard Schäfer

The Kerr metric outside the ergosphere is transformed into ADM coordinates up to the orders $1/r^4$ and $a^2$, respectively in radial coordinate $r$ and reduced angular momentum variable $a$, starting from the Kerr solution in quasi-isotropic as well as harmonic coordinates. The distributional source terms for the approximate solution are calculated. To leading order in linear momenta, higher-order-in-spin interaction Hamiltonians for black-hole binaries are derived.

View original: http://arxiv.org/abs/0712.1515