Post-post-Newtonian Equations of Motion for Point Particles in the General Theory of Relativity

摘要

The post-post-Newtonian equations of motion for point particles are derived from the Einstein gravitational field equations by using the Einstein-Infeld-Hoffmann method with the help of the energy-momentum tensor proposed by Infeld and Plebanski [5, 6]. The obtained equations of motion coincide with the equations derived by Kopeikin [10] by using the Fock method.