Testing binary dynamics in gravity at the sixth postNewtonian level
Abstract
We calculate the motion of binary mass systems in gravity up to the sixth postNewtonian order to the G_{N}^{3} 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 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 postNewtonian order to G_{N}^{3} .
 Publication:

Physics Letters B
 Pub Date:
 August 2020
 DOI:
 10.1016/j.physletb.2020.135496
 arXiv:
 arXiv:2003.07145
 Bibcode:
 2020PhLB..80735496B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Solar and Stellar Astrophysics;
 High Energy Physics  Theory
 EPrint:
 13 pages Latex