English

The Birkhoff Theorem in Multidimensional Gravity

General Relativity and Quantum Cosmology 2016-08-31 v1

Abstract

The validity conditions for the extended Birkhoff theorem in multidimensional gravity with nn 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.

Keywords

Cite

@article{arxiv.gr-qc/9403063,
  title  = {The Birkhoff Theorem in Multidimensional Gravity},
  author = {K. A. Bronnikov and V. N. Melnikov},
  journal= {arXiv preprint arXiv:gr-qc/9403063},
  year   = {2016}
}

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8 pages