Principal tensor strikes again: Separability of vector equations with torsion

• Autor(a) principal: Cayuso, Ramiro
• Data de Publicação: 2019
• Outros Autores: Gray, Finnian, Kubizňák, David, Margalit, Aoibheann, Souza, Renato Gomes [UNESP], Thiele, Leander
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.physletb.2019.07.007; http://hdl.handle.net/11449/189377

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–Cvetič–Lü–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.