Static spacetime

In general relativity, a spacetime is said to be static if it admits a global, nowhere zero, timelike hypersurface orthogonal Killing vector field. Every static spacetime is stationary. In a static spacetime, the metric components may be chosen so that they are all independent of the time coordinate. It is in this sense that a static spacetime derives its name, as the geometry of the spacetime does not change. An example of a static spacetime is the (exterior) Schwarzschild solution.

Related Topics:
General relativity - Spacetime - Timelike - Hypersurface orthogonal - Killing vector field - Stationary - Schwarzschild solution

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