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  Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation

Bernard, L., Blanchet, L., Bohé, A., Faye, G., & Marsat, S. (2016). Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation. Physical Review D, 93: 084037. doi:10.1103/PhysRevD.93.084037.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-7191-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-7192-2
Genre: Journal Article

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1512.02876.pdf (Preprint), 537KB
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 Creators:
Bernard, Laura, Author
Blanchet, Luc, Author
Bohé, Alejandro1, Author              
Faye, Guillaume, Author
Marsat, Sylvain1, Author              
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: The Fokker action governing the motion of compact binary systems without spins is derived in harmonic coordinates at the fourth post-Newtonian approximation (4PN) of general relativity. Dimensional regularization is used for treating the local ultraviolet (UV) divergences associated with point particles, followed by a renormalization of the poles into a redefinition of the trajectories of the point masses. Effects at the 4PN order associated with wave tails propagating at infinity are included consistently at the level of the action. A finite part procedure based on analytic continuation deals with the infrared (IR) divergencies at spatial infinity, which are shown to be fully consistent with the presence of near-zone tails. Our end result at 4PN order is Lorentz invariant and has the correct self-force limit for the energy of circular orbits. However, we find that it differs from the recently published result derived within the ADM Hamiltonian formulation of general relativity [T. Damour, P. Jaranowski, and G. Sch\"afer, Phys. Rev. D 89, 064058 (2014)]. More work is needed to understand this discrepancy.

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 Dates: 2015-12-092016-04-252016
 Publication Status: Published in print
 Pages: 47 pages; references added; Sec. VD enhanced; a few more minor improvements
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 Rev. Method: -
 Identifiers: arXiv: 1512.02876
DOI: 10.1103/PhysRevD.93.084037
URI: http://arxiv.org/abs/1512.02876
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 93 Sequence Number: 084037 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258