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Hidden Symmetry and Exact Solutions in Einstein Gravity
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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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Cited by 2 Pith papers
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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
Quadratic-in-spin MPTD dynamics in type-D Einstein spacetimes with Killing–Yano symmetry admits five commuting first integrals—hence Liouville–Arnold integrability—only when the spin-induced quadrupole deformability p...
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On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime
Using the Eisenhart-Duval lift, the authors reproduce previously known commuting symmetry operators for the Maxwell (LFKK) equation on Kerr-NUT-(A)dS spacetimes in covariant form, and construct the analogous operator ...
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