The Birkhoff Theorem in Multidimensional Gravity
K. A. Bronnikov, V. N. Melnikov
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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