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- W3098389660 endingPage "154005" @default.
- W3098389660 startingPage "154005" @default.
- W3098389660 abstract "In this paper, we discuss hidden symmetries in rotating black hole spacetimes. We start with an extended introduction which mainly summarizes results on hidden symmetries in four dimensions and introduces Killing and Killing?Yano tensors, objects responsible for hidden symmetries. We also demonstrate how starting with a principal CKY tensor (that is a closed non-degenerate conformal Killing?Yano 2-form) in 4D flat spacetime one can 'generate' the 4D Kerr?NUT?(A)dS solution and its hidden symmetries. After this we consider higher-dimensional Kerr?NUT?(A)dS metrics and demonstrate that they possess a principal CKY tensor which allows one to generate the whole tower of Killing?Yano and Killing tensors. These symmetries imply complete integrability of geodesic equations and complete separation of variables for the Hamilton?Jacobi, Klein?Gordon and Dirac equations in the general Kerr?NUT?(A)dS metrics." @default.
- W3098389660 created "2020-11-23" @default.
- W3098389660 creator A5019556881 @default.
- W3098389660 creator A5087022921 @default.
- W3098389660 date "2008-07-22" @default.
- W3098389660 modified "2023-09-27" @default.
- W3098389660 title "Higher-dimensional black holes: hidden symmetries and separation of variables" @default.
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