Killing-Yano symmetry of Kaluza-Klein black holes in five dimensions
arXiv:1212.2163 · doi:10.1088/0264-9381/30/7/075013
Abstract
Using a generalised Killing-Yano equation in the presence of torsion, spacetime metrics admitting a rank-2 generalised Killing-Yano tensor are investigated in five dimensions under the assumption that its eigenvector associated with the zero eigenvalue is a Killing vector field. It is shown that such metrics are classified into three types and the corresponding local expressions are given explicitly. It is also shown that they cover some classes of charged, rotating Kaluza-Klein black hole solutions of minimal supergravity and abelian heterotic supergravity.
22 pages, no figures, v2: references added, minor changes to section 2
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Cited by in corpus (5)
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- Rational first integrals of geodesic equations and generalised hidden symmetries
- Mass and angular momentum of black holes in low-energy heterotic string theory
- Higher-dimensional lifts of Killing-Yano forms with torsion
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