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arXiv · gr-qc/9403063

The Birkhoff Theorem in Multidimensional Gravity

K. A. Bronnikov·V. N. Melnikov
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Abstract

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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K. A. Bronnikov, V. N. Melnikov. 1994-03-31. The Birkhoff Theorem in Multidimensional Gravity. https://doi.org/10.1007/bf02105073

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