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The Birkhoff theorem in multidimensional gravity

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Abstract

The validity conditions for the extended Birkhoff theorem in multidimensional gravity withn 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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Authors and Affiliations

  1. Center for Surface and Vacuum Research, 8 Kravchenko str., 117331, Moscow, Russia

    K. A. Bronnikov & V. N. Melnikov

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  1. K. A. Bronnikov
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  2. V. N. Melnikov
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Bronnikov, K.A., Melnikov, V.N. The Birkhoff theorem in multidimensional gravity. Gen Relat Gravit 27, 465–474 (1995). https://doi.org/10.1007/BF02105073

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