Birkhoff's theorem

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What Wikipedia says

In general relativity, Birkhoff–Jebsen's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically flat.

Excerpt from the Wikipedia article “Birkhoff's theorem (relativity)”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Nils Voje Johansen, University of Oslo, Norway, CC0, via Wikimedia Commons.