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arXiv · 1505.03317

Birkhoff theorem and conformal Killing-Yano tensors

Joan Josep Ferrando·Juan Antonio Sáez
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Abstract

We analyze the main geometric conditions imposed by the hypothesis of the Jebsen-Birkhoff theorem. We show that the result (existence of an additional Killing vector) does not necessarily require a three-dimensional isometry group on two-dimensional orbits but only the existence of a conformal Killing-Yano tensor. In this approach the (additional) isometry appears as the known invariant Killing vector that the ${\cal D}$-metrics admit.

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Joan Josep Ferrando, Juan Antonio Sáez. 2015-05-13. Birkhoff theorem and conformal Killing-Yano tensors. https://doi.org/10.1007/s10714-015-1911-7

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