Conformally Coupled Scalar in Rotating Black Hole Spacetimes
arXiv:2002.05221 · doi:10.1103/PhysRevD.101.084031
Abstract
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.
arXiv comment8 pages, no figures v2: upgraded published version
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