Testing binary dynamics in gravity at the sixth post-Newtonian level
Abstract
We calculate the motion of binary mass systems in gravity up to the sixth post-Newtonian order to the GN3 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 post-Newtonian order to GN3 .
- Publication:
-
Physics Letters B
- Pub Date:
- August 2020
- DOI:
- 10.1016/j.physletb.2020.135496
- arXiv:
- arXiv:2003.07145
- Bibcode:
- 2020PhLB..80735496B
- Keywords:
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- General Relativity and Quantum Cosmology;
- Astrophysics - Solar and Stellar Astrophysics;
- High Energy Physics - Theory
- E-Print:
- 13 pages Latex