In the ADM formulation of general relativity, spacetime is split into spatial slices and a time axis. The basic variables are taken to be the induced metric q a b ( x ) {\displaystyle q_{ab}(x)} on the spatial slice and the metric's conjugate momentum K a b ( x ) {\displaystyle K^{ab}(x)} , which is related to the extrinsic curvature and is a measure of how the induced metric evolves in time.
In the ADM formulation of general relativity, spacetime is split into spatial slices and a time axis. The basic variables are taken to be the induced metric q a b ( x ) {\displaystyle q_{ab}(x)} on the spatial slice and the metric's conjugate momentum K a b ( x ) {\displaystyle K^{ab}(x)} , which is related to the extrinsic curvature and is a measure of how the induced metric evolves in time.
Source: Wikipedia "Ashtekar variables" · CC BY-SA 4.0
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