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

2020/03/16 by J. Blümlein, A. Maier, Andreas Maier +4 · 97 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics #Binary number #Classical mechanics #Cosmology and Gravitation Theories #Dynamics (music) #Galaxy rotation curve #Geophysics and Gravity Measurements #Gravitation #Modified Newtonian dynamics #Newtonian dynamics #Newtonian fluid #Physics #Pulsars and Gravitational Waves Research #astro-ph.SR #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2020.135496

published in Physics Letters B 807, 135496 (Elsevier BV) · 13 pages Latex

arxiv created 2020/03/16 · openalex created_date 2020/03/23 · openalex publication_date 2020/06/03 · arxiv updated 2020/07/15 · openalex updated_date 2026/08/05

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.

Citations

• New features of FORM
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
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• Classical Physics and Quantum Loops
• Observation of Gravitational Waves from a Binary Black Hole Merger
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• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders