Non-Existence of Toroidal Cohomogeneity-1 Near-Horizon Geometries

作者:Holland Jan*
来源:Annales Henri Poincare, 2014, 15(2): 407-414.
DOI:10.1007/s00023-013-0244-x

摘要

We prove that D a parts per thousand yen 5 dimensional stationary, non-static near-horizon geometries with (D-3) commuting rotational symmetries subject to the vacuum Einstein equations including a cosmological constant cannot have toroidal horizon topology. In D = 4 dimensions, the same result is obtained under the assumption of a non-negative cosmological constant.

  • 出版日期2014-2

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