Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
| Autor: | Cayuso, Ramiro, Gray, Finnian, Kubiznak, David, Margalit, Aoibheann, Souza, Renato Gomes, Thiele, Leander |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physletb.2019.07.007 |
| Popis: | Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing--Yano tensor. This tensor determines basic properties of such black holes while also underlying the separability of the Hamilton--Jacobi, Klein--Gordon, and (torsion-modified) Dirac field equations in their background. As a specific example, we consider the Chong--Cveti\v{c}--L\"u--Pope black hole of $D=5$ minimal gauged supergravity and show that the torsion-modified vector field equations can also be separated, with the principal tensor playing a key role in the separability ansatz. For comparison, separability of the Proca field in higher-dimensional Kerr--NUT--AdS spacetimes (including new explicit formulae in odd dimensions) is also presented. Comment: 8 pages |
| Databáze: | arXiv |
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