Sixth post-Newtonian local-in-time dynamics of binary systems

2020/04/11 by Donato Bini, Thibault Damour, Andrea Geralico · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Astrophysical Phenomena and Observations #Astrophysics #Binary number #Classical mechanics #Computation #Cosmology #Gamma-ray bursts and supernovae #Gauge theory #Geometry #Gravitation #Hamiltonian (control theory) #Invariant (physics) #Mathematical physics #Mathematics #Newtonian fluid #Physics #Pulsars and Gravitational Waves Research #Rotation formalisms in three dimensions #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.102.024061

published as Phys. Rev. D 102, 024061 (2020) · 36 pages, 1 figure

arxiv created 2020/04/11 · openalex publication_date 2020/07/20 · arxiv updated 2020/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

International audience

Citations

• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Tail terms in gravitational radiation reaction via effective field theory
• Second-post-Newtonian generation of gravitational radiation
• Asymptotic expansion of Feynman integrals near threshold
• Classical Electrodynamics in Terms of Direct Interparticle Action
• Testing gravity to second post-Newtonian order: A field-theory approach
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• Determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation, and effective one-body theory
• From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders

Cited by

• Three-body effective potential in general relativity at second post-Minkowskian order and resulting post-Newtonian contributions