Birkhoff theorem and conformal Killing-Yano tensors

作者:Josep Ferrando Joan; Antonio Saez Juan
来源:General Relativity and Gravitation, 2015, 47(6): 66.
DOI:10.1007/s10714-015-1911-7

摘要

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 D-metrics admit.

  • 出版日期2015-6