motion and radiation in general relativity

These paper reviews recent progress on the connected problems of the motion of bodies in general relativity, the gravitational radiation they generate, and the reaction effects of this radiation on the motion. After a general introduction to the nature of the problem and to some useful theorems, the author treats three separate problems. The first is linearized theory and the post-linear approximations, including a slow-motion expansion. The second is the Newtonian limit, in which self-gravity is weak but not negligible. The third is the strong-field point-particle limit, in which bodies with strong internal gravity interact by their Newtonian gravitational field. The author calculates the lowest-order equations of motion for each case, reviews aspects of gravitational radiation theory and calculates the radiation they generate and the reaction effects they experience. In each case, the so-called quadrupole formula is verified