Hidden Symmetry and Exact Solutions in Einstein Gravity

Details Hidden Symmetry and Exact Solutions in Einstein Gravity Hidden Symmetry and Exact Solutions in Einstein Gravity

2011-04-05

arxiv.org/abs/1104.0852v1

Physics

High Energy Physics

High Energy Physics - Theory

Invited review for Prog. Theor. Phys. Suppl, 39 pages, 1 figure, 2 tables

Scientific paper

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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