On Kerr black hole deformations admitting a Carter constant and an invariant criterion for the separability of the wave equation

preprint2020arXivOpen access

Abstract

In a previous work of ours, the most general family of Kerr deformations -- admitting a Carter constant -- has been presented. This time a simple, necessary and sufficient condition in order for the aforementioned family to have a separable Klein-Gordon equations is exhibited.

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