Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

2004/12/31 by Samaya Nissanke, Luc Blanchet · 105 citations
Physics and Astronomy · #Angular momentum #Binary number #Class (philosophy) #Coordinate system #Cosmology and Gravitation Theories #Equations of motion #Gravitation #Gravitational wave #Harmonic coordinates #Metric (unit) #Motion (physics) #Pulsars and Gravitational Waves Research #Quantum and Classical Electrodynamics #gr-qc

paper · pdf · doi:10.1088/0264-9381/22/6/008

published in Classical and Quantum Gravity 22(6), 1007-1031 (IOP Publishing) · 28 pages, references added, to appear in Classical and Quantum Gravity

arxiv created 2005/01/26 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We compute the radiation-reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone metric and equations of motion of an extended isolated system, using appropriate ‘asymptotically matched’ flat-spacetime retarded potentials. The formalism is subsequently applied to binary systems of point particles, with the help of the Hadamard self-field regularization. Our result is the 3.5PN acceleration term in a general harmonic coordinate frame. Restricting the expression to the centre-of-mass frame, we find perfect agreement with the result derived in a class of coordinate systems by Iyer and Will using the energy and angular-momentum balance equations.

Citations

• Second-post-Newtonian generation of gravitational radiation
• The gravitational interaction: Spin, rotation, and quantum effects-a review
• Dimensional regularization of the gravitational interaction of point masses
• Hereditary effects in gravitational radiation
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM formalism
• Gravitational radiation reaction and balance equations to post-Newtonian order
• Third post-Newtonian dynamics of compact binaries: equations of motion in the centre-of-mass frame
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

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