ABSTRACT
The field equation stipulates conditions on the space-time geometry as a complete entity. In practice though, we have clear sense of a dynamical evolution of matter. Can this sense be extended to a dynamical view of the space-time itself? In other words, can the set of space-time events be viewed as a sequential arrangement of some three-dimensional entities? We expect such a view to be supported on physical grounds, but does the manifest, space-time covariant mathematical formulation accommodate such a view? This is far from automatic. It turns out that Einstein equation does admit such an evolutionary interpretation - a solution space-time can be viewed as an evolving spatial geometry.
