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arXiv · 2002.05221

Conformally Coupled Scalar in Rotating Black Hole Spacetimes

Finnian Gray·Ian Holst·David Kubiznak·Gloria Odak·Dalila M. Pirvu·Tales Rick Perche
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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.

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Finnian Gray, Ian Holst, David Kubiznak, Gloria Odak, Dalila M. Pirvu, Tales Rick Perche. 2020-02-12. Conformally Coupled Scalar in Rotating Black Hole Spacetimes. https://doi.org/10.1103/physrevd.101.084031

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