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Testing binary dynamics in gravity at the sixth post-Newtonian level
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DOI：10.1016/j.physletb.2020.135496.png)
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Abstract
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We calculate the motion of binary mass systems in gravity up to the sixth post-Newtonian 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 post-Newtonian order to G(N)(3). (C) 2020 Published by Elsevier B.V.
Keywords:
LORENTZ-COVARIANT APPROXIMATION
RADIATION ENERGY-LOSS
GENERAL-RELATIVITY
GRAVITATIONAL PERTURBATIONS
SCATTERING PROBLEMS
POINT MASSES
MOTION
FIELD
PARTICLES
BREMSSTRAHLUNG
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