高维旋转黑洞的隐藏对称性。

Hidden symmetries of higher-dimensional rotating black holes.

作者信息

Frolov Valeri P, Kubiznák David

机构信息

Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada.

出版信息

Phys Rev Lett. 2007 Jan 5;98(1):011101. doi: 10.1103/PhysRevLett.98.011101.

DOI:10.1103/PhysRevLett.98.011101

PMID:17358466

Abstract

We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same hidden symmetry as the four-dimensional Kerr metric. Namely, besides the spacetime symmetries generated by the Killing vectors they also admit the (antisymmetric) Killing-Yano and symmetric Killing tensors.

摘要

我们证明，任意维度的旋转黑洞，且对其旋转参数没有任何限制，都具有与四维克尔度规相同的隐藏对称性。也就是说，除了由基灵矢量产生的时空对称性外，它们还允许（反对称的）基灵 - 亚诺张量和对称基灵张量。