Ambiguity-free completion of the equations of motion of compact binary systems at the fourth post-Newtonian order

Tanguy Marchand, Laura Bernard, Luc Blanchet, and Guillaume Faye
Phys. Rev. D 97, 044023 – Published 20 February 2018

Abstract

We present the first complete (i.e., ambiguity-free) derivation of the equations of motion of two nonspinning compact objects up to the 4PN (post-Newtonian) order, based on the Fokker action of point particles in harmonic coordinates. The last ambiguity parameter is determined from first principle, by resorting to a matching between the near-zone and far-zone fields, and a consistent computation of the 4PN tail effect in d dimensions. Dimensional regularization is used throughout for treating IR divergences appearing at 4PN order, as well as UV divergences due to the modeling of the compact objects as point particles.

  • Received 28 July 2017

DOI:https://doi.org/10.1103/PhysRevD.97.044023

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Tanguy Marchand1,2,*, Laura Bernard3,†, Luc Blanchet1,‡, and Guillaume Faye1,§

  • 1GReCO, Institut d’Astrophysique de Paris, UMR 7095, CNRS, Sorbonne Universités and UPMC Univ Paris 6, 98bis boulevard Arago, 75014 Paris, France
  • 2Laboratoire APC, Astroparticule et Cosmologie, Université Paris Diderot Paris 7, 75013 Paris, France
  • 3CENTRA, Departamento de Física, Instituto Superior Técnico (IST), Universidade de Lisboa (UL), Avenida Rovisco Pais 1, 1049 Lisboa, Portugal

  • *tanguy.marchand@iap.fr
  • laura.bernard@tecnico.ulisboa.pt
  • luc.blanchet@iap.fr
  • §guillaume.faye@iap.fr

See Also

Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

Laura Bernard, Luc Blanchet, Alejandro Bohé, Guillaume Faye, and Sylvain Marsat
Phys. Rev. D 96, 104043 (2017)

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Vol. 97, Iss. 4 — 15 February 2018

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