A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge
arXiv:hep-th/0602118 · doi:10.1088/0264-9381/23/10/023
Abstract
In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse metric is additively separable after multiplication by a simple function. This allows us to separate the Hamilton-Jacobi equation, showing that geodesic motion is integrable on this background. The separation of the Hamilton-Jacobi equation is intimately linked to the existence of an irreducible Killing tensor, which provides an extra constant of motion. We also demonstrate that the Klein-Gordon equation for this background is separable.
arXiv commentLaTeX, 14 pages. v2: Typo corrected and equation added. v3: Reference added, introduction expanded, published version
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- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
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- Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
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- Separability of multi-charge black holes in supergravity