Conformally coupled scalar in rotating black hole spacetimes
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2020-04-15
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We demonstrate separability of conformally coupled scalar field equations in general (off-shell) Kerr - Newman-Unti-Tamburino - anti-de Sitter 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 Plebański-Demiański spacetime.
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Physical Review D, v. 101, n. 8, 2020.
