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arxiv: gr-qc/9403063 · v1 · pith:MGX2W6GSnew · submitted 1994-03-31 · 🌀 gr-qc

The Birkhoff Theorem in Multidimensional Gravity

classification 🌀 gr-qc
keywords theorembirkhoffgravitymultidimensionalconditionsdimensionalitydiscussedexamples
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The validity conditions for the extended Birkhoff theorem in multidimensional gravity with $n$ internal spaces are formulated, with no restriction on space-time dimensionality and signature. Examples of matter sources and geometries for which the theorem is valid are given. Further generalization of the theorem is discussed.

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