The binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism

C. Koenigsdoerffer, G. Faye, G. Schaefer

We specialize the radiation-reaction part of the Arnowitt-Deser-Misner (ADM) Hamiltonian for many non-spinning point-like bodies, calculated by Jaranowski and Schaefer [1], to thir…