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arXiv · 1104.0852

Hidden Symmetry and Exact Solutions in Einstein Gravity

Yukinori Yasui·Tsuyoshi Houri
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Abstract

Conformal Killing-Yano tensors are introduced as a generalization of Killing vectors. They describe symmetries of higher-dimensional rotating black holes. In particular, a rank-2 closed conformal Killing-Yano tensor generates the tower of both hidden symmetries and isometries. We review a classification of higher-dimensional spacetimes admitting such a tensor, and present exact solutions to the Einstein equations for these spacetimes.

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Yukinori Yasui, Tsuyoshi Houri. 2011-04-05. Hidden Symmetry and Exact Solutions in Einstein Gravity. https://doi.org/10.1143/ptps.189.126

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