`Hidden' Symmetries of Higher Dimensional Rotating Black Holes
Valeri P. Frolov, David Kubiznak
TL;DR
This paper shows that higher-dimensional rotating black holes have hidden symmetries similar to the 4D Kerr black hole, including Killing-Yano and Killing tensors, regardless of their rotation parameters.
Contribution
It proves the existence of hidden symmetries in higher-dimensional rotating black holes without restrictions on rotation parameters, extending known 4D Kerr symmetries.
Findings
Higher-dimensional black holes possess Killing-Yano tensors.
They admit symmetric Killing tensors.
Hidden symmetries are independent of rotation parameters.
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 4-dimensional Kerr metric. Namely, besides the spacetime symmetries generated by the Killing vectors they also admit the (antisymmetric) Killing-Yano and symmetric Killing tensors.
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