**Vacuum Solution (general Relativity)**

In general relativity, a **vacuum solution** is a Lorentzian manifold whose Einstein tensor vanishes identically. According to the Einstein field equation, this means that the stress-energy tensor also vanishes identically, so that no matter or non-gravitational fields are present.

More generally, a **vacuum region** in a Lorentzian manifold is a region in which the Einstein tensor vanishes.

Read more about Vacuum Solution (general Relativity): Equivalent Conditions, Gravitational Energy, Examples

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