Abstract
Two generalisations of Birkhoff's theorem are proved for the cases where the three-parameter group of motions acts on two-dimensional time-like and null orbits. A complete list of possible extensions of the three-parameter group to one of four parameters and of the resulting metrics is given.
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Turner and Newall Research Fellow.
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Barnes, A. On Birkhoff's theorem in general relativity. Commun.Math. Phys. 33, 75–82 (1973). https://doi.org/10.1007/BF01645608
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DOI: https://doi.org/10.1007/BF01645608