Theory

This first volume of a two-volume series is concerned with theoretical foundations such as post-Newtonian solutions to the two-body problem, light propagation through time-dependent gravitational fields, as well as cosmological effects on the movement of bodies in the solar systems.

On the occasion of his 80-th birthday, these two volumes honor V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics.

Contributions include:

• M. Soffel: On the DSX-framework
• T. Damour: The general relativistic two body problem
• G. Schaefer: Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations
• A. Petrov and S. Kopeikin: Post-Newtonian approximations in cosmology
• T. Futamase: On the backreaction problem in cosmology
• Y. Xie and S. Kopeikin: Covariant theory of the post-Newtonian equations of motion of extended bodies
• S. Kopeikin and P. Korobkov: General relativistic theory of light propagation in multipolar gravitational fields