On a lower-dimensional Killing vector origin of irreducible Killing tensors
- Author(s)
- Finnian Gray, Gloria Odak, Pavel Krtouš, David Kubizňák
- Abstract
Considering a spacetime foliated by co-dimension-2 hypersurfaces, we find the conditions under which lower-dimensional symmetries of a base space can be lifted up to irreducible Killing tensors of the full spacetime. In this construction, the key ingredient for irreducibility is the non-commutativity of the underlying Killing vectors. It gives rise to a tower of growing rank Killing tensors determined by the structure constants of the corresponding Lie algebra. A canonical example of a metric with such emergent non-trivial hidden symmetries in all dimensions is provided by rotating (off-shell) generalized Lense-Thirring spacetimes, where the irreducible Killing tensors arise from the underlying spherical symmetry of the base space. A physical on-shell realization of this construction in four dimensions is embodied by a rotating black hole in the Einstein-Maxwell-Dilaton-Axion theory. Further examples of equal spinning Myers-Perry spacetimes and spacetimes built on planar and Taub-NUT base metrics are also discussed.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Charles University Prague
- Journal
- Journal of High Energy Physics
- Volume
- 2025
- No. of pages
- 38
- ISSN
- 1029-8479
- DOI
- https://doi.org/10.48550/arXiv.2504.18287
- Publication date
- 07-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/f8887e7c-7004-416d-9aec-9d62ab6ea28c