Binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM formalism

2003/05/31 by C. Koenigsdoerffer, Christian Königsdörffer, Guillaume Faye +3 · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.68.044004

published as Phys.Rev.D68:044004,2003 · 20 pages

arxiv created 2003/06/10 · openalex publication_date 2003/08/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We specialize the radiation-reaction part of the Arnowitt-Deser-Misner Hamiltonian for many nonspinning pointlike bodies, calculated by Jaranowski and Sch"afer, to third-and-a-half post-Newtonian approximation to general relativity, to binary systems. This Hamiltonian is used for the computation of the instantaneous gravitational energy loss of a binary to 1PN reactive order. We also derive the equations of motion, which include PN reactive terms via Hamiltonian and Euler-Lagrangian approaches. The results are consistent with the expressions for reactive acceleration provided by the Iyer-Will formalism in a general class of gauges.

Citations

• Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation

Cited by

• INTRODUCTORY LECTURES ON THE EFFECTIVE ONE BODY FORMALISM
• Circular orbit approximation for binary compact objects in general relativity
• Strong-Field Gravity Tests with the Double Pulsar
• The Post-Newtonian Approximation for Relativistic Compact Binaries
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries