Testing binary dynamics in gravity at the sixth post-Newtonian level

J. Blümlein, A. Maier, P. Marquard, G. Schäfer
2020 Physics Letters B  
We calculate the motion of binary mass systems in gravity up to the sixth post-Newtonian order to the G 3 N terms ab initio using momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates. For these contributions we construct a canonical transformation to isotropic and to EOB coordinates at 5PN and agree with the results in the literature [1,2] by Bern et al. and Damour. At 6PN we compare to the Hamiltonians in isotropic coordinates either
more » ... coordinates either given in [1] or resulting from the scattering angle. We find a canonical transformation from our Hamiltonian in harmonic coordinates to [1], but not to [2] . This implies that we also agree on all observables with [1] to the sixth post-Newtonian order to G 3 N .
doi:10.1016/j.physletb.2020.135496 fatcat:wsgmezhkzfgpzhprk2ps5dm44y