Coordinatedependent 3 + 1 formulation of the general relativity equation of motion
Abstract
This paper gives a coordinatedependent 3 + 1 decomposition of the geodesic law of motion. The equation is similar in form to the equation of motion of electrodynamics except there is an extra term proportional to the rate of change of kinetic energy and the vector potential. The equation is solved for the acceleration explicitly.
 Publication:

General Relativity and Gravitation
 Pub Date:
 May 1980
 DOI:
 10.1007/BF00764477
 Bibcode:
 1980GReGr..12..399N
 Keywords:

 Astronomical Models;
 Equations Of Motion;
 Relativity;
 Acceleration (Physics);
 Kinetic Energy;
 Tensor Analysis;
 Vector Analysis;
 Astrophysics