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geometrodynamics
In theoretical physics, geometrodynamics is an attempt to describe spacetime and associated phenomena completely in terms of geometry. Technically, its goal is to unify the fundamental forces and reformulate general relativity as a configuration space of three-metrics, modulo three-dimensional diffeomorphisms. It was enthusiastically promoted by John Wheeler in the 1960s, and work on it continues in the 21st century.
==Einstein's geometrodynamics==
The term geometrodynamics is loosely used as a synonym for general relativity. More properly, some authors use the phrase ''Einstein's geometrodynamics'' to denote the initial value formulation of general relativity, introduced by Arnowitt, Deser, and Misner (ADM formalism) around 1960. In this reformulation, spacetimes are sliced up into ''spatial hyperslices'' in a rather arbitrary fashion, and the vacuum Einstein field equation is reformulated as an ''evolution equation'' describing how, given the geometry of an initial hyperslice (the "initial value"), the geometry evolves over "time". This requires giving ''constraint equations'' which must be satisfied by the original hyperslice. It also involves some "choice of gauge"; specifically, choices about how the ''coordinate system'' used to describe the hyperslice geometry evolves.
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