A post-Newtonian approximation scheme for general relativity is defined using the Arnowitt-Deser-Misner formalism. The scheme is applied to perfect fluids and point-mass systems. The two-body point-mass Hamiltonian is given explicitly up to the post-Newtonian order.
@article{bwmeta1.element.bwnjournal-article-bcpv41z2p43bwm,
author = {Sch\"afer, Gerhard},
title = {Post-Newtonian approximations and equations of motion of general relativity},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {43-53},
zbl = {0891.53065},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p43bwm}
}
Schäfer, Gerhard. Post-Newtonian approximations and equations of motion of general relativity. Banach Center Publications, Tome 38 (1997) pp. 43-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p43bwm/
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