Dynamics and Statics

Understanding some necessary concepts, Classical (Newtonian) mechanics is a science dealing with force and mass, time and distance. Traditionally as a study on it's own, statics deals with forces that balance each other to keep objects in a state of rest, dynamics is the physics of forces producing movement.

Einstein's theory of the universe, general relativity is based on the principle that movement is relative and that time is a fourth dimension related to space and the influence of gravity.

The Question is, what is the equivalent of Statics in General Relativity?

Note: I  have consulted the Oxford dictionary