Post-Newtonian approximations and equations of motion of general relativity
Volume 41 / 1997
Banach Center Publications 41 (1997), 43-53
DOI: 10.4064/-41-2-43-53
Abstract
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$^{2.5}$-Newtonian order.