Equations of motion of self-gravitatingN-body systems in the first post-Minkowskian approximation

2018/06/21 by Luc Blanchet, A. S. Fokas, Athanassios S. Fokas · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Compact space #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #General relativity #Mathematical analysis #Mathematical physics #Mathematics #Motion (physics) #Philosophy #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Slowness #Zero (linguistics) #gr-qc

paper · pdf · doi:10.1103/physrevd.98.084005

published as Phys. Rev. D 98, 084005 (2018) · 30 pages, 2 figures

arxiv created 2018/06/21 · openalex created_date 2018/06/29 · openalex publication_date 2018/10/08 · arxiv updated 2018/10/17 · openalex updated_date 2026/08/05

Abstract

The post-Minkowskian expansion in general relativity (an expansion when the compactness parameter G\phantom\rule00exm/r/c² of the source tends to zero) applied to the motion of N-body systems is revisited and compared to recently derived high-order post-Newtonian calculations (expansion when the slowness parameter v²/c² tends to zero).

Citations

• Tail terms in gravitational radiation reaction via effective field theory
• Testing gravity to second post-Newtonian order: A field-theory approach
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity

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