Gerhard SCHÄFER (Jena)

Equations of Motion in the ADM Formalism

2 lectures: 14, 15 November 2006

Representative references:

• gr-qc/9712075: 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• gr-qc/9906092: The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part
• gr-qc/0003051: Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
• gr-qc/0105038: Dimensional regularization of the gravitational interaction of point masses
• gr-qc/0305048: The binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism
• gr-qc/9912092: Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation
• gr-qc/0407049: Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• gr-qc/0005034: On the determination of the last stable orbit for circular
  general relativistic binaries at the third post-Newtonian approximation
  

Lecture notes