Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
Abstract
Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is applicable to the spin dynamics of all kinds of binaries with self-gravitating components like black holes and/or neutron stars taking into account spin-induced quadrupolar deformation effects in second post-Newtonian order perturbation theory of Einstein's field equations. The corresponding equations of motion for spin, position and momentum variables are given in terms of canonical Poisson brackets. Comparison with a nonreduced potential calculated within the Effective Field Theory approach is made.
Keywords
Cite
@article{arxiv.1002.2093,
title = {Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries},
author = {Steven Hergt and Jan Steinhoff and Gerhard Schaefer},
journal= {arXiv preprint arXiv:1002.2093},
year = {2010}
}
Comments
11 pages, minor changes to match published version at CQG