Conformally Coupled Scalar in Rotating Black Hole Spacetimes

Autor: Gray, Finnian, Holst, Ian, Kubiznak, David, Odak, Gloria, Pirvu, Dalila M., Perche, Tales Rick
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. D 101, 084031 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.101.084031
Popis: We demonstrate separability of conformally coupled scalar field equation in general (off-shell) Kerr-NUT-AdS spacetimes in all dimensions. The separability is intrinsically characterized by the existence of a complete set of mutually commuting conformal wave operators that can be constructed from a hidden symmetry of the principal Killing-Yano tensor. By token of conformal symmetry, the separability also works for any Weyl rescaled (off-shell) metrics. This is especially interesting in four dimensions where it guarantees separability of a conformally coupled scalar field in the general Plebanski-Demianski spacetime.
Comment: 8 pages, no figures v2: upgraded published version
Databáze: arXiv