Local metrics admitting a principal Killing–Yano tensor with torsion

DOI10.1088/0264-9381/29/16/165001zbMath1252.83100arXiv1203.0393OpenAlexW3104859334MaRDI QIDQ2914956

Yukinori Yasui, Tsuyoshi Houri, David Kubizňák, Claude M. Warnick

Publication date: 21 September 2012

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0393

Mathematics Subject Classification ID

Black holes (83C57) Supergravity (83E50) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Local differential geometry of Hermitian and Kählerian structures (53B35) Exact solutions to problems in general relativity and gravitational theory (83C15)

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Euclidean supersymmetric solutions with the self-dual Weyl tensor ⋮ Black holes, hidden symmetries, and complete integrability ⋮ Closed conformal Killing–Yano initial data ⋮ Higher-dimensional lifts of Killing–Yano forms with torsion ⋮ Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime ⋮ Principal tensor strikes again: separability of vector equations with torsion ⋮ Massless geodesics in \(\text{AdS}_5\times Y(p,q)\) as a superintegrable system ⋮ Separability of black holes in string theory ⋮ Separability and symmetry operators for Painlevé metrics and their conformal deformations ⋮ Killing-Yano cotton currents

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