Conformally coupled scalar in rotating black hole spacetimes
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Data
2020-04-15
Autores
Gray, Finnian
Holst, Ian
Kubiznak, David
Odak, Gloria
Pirvu, Dalila M.
Perche, Tales Rick [UNESP]
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Amer Physical Soc
Resumo
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 Plebanski-Demianski spacetime.
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Physical Review D. College Pk: Amer Physical Soc, v. 101, n. 8, 8 p., 2020.