[1002.2093] Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries

Authors: Steven Hergt, Jan Steinhoff, Gerhard Schaefer

Date: 10 Feb 2010

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.

abs pdf

Feb 19, 2010

1002.2093 (/preprints)
2010-02-19, 22:26 [edit]


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