Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
arXiv:1002.2093 · doi:10.1088/0264-9381/27/13/135007
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.
11 pages, minor changes to match published version at CQG
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Cited by in corpus (5)
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- Canonical Formulation of Spin in General Relativity
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- Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects