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

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.

6 pages, 1 table, no figures

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Cited by in corpus (11)

• Shadows of parametrized axially symmetric black holes allowing for separation of variables
• Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
• Testing black hole equatorial reflection symmetry using Sgr A* shadow images
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Killing horizons and surface gravities for a well-behaved three-function generalisation of the Kerr spacetime
• Constant-$r$ geodesics in the Painleve-Gullstrand form of Lense-Thirring spacetime
• Slowly-rotating compact objects: the nonintegrability of Hartle-Thorne particle geodesics
• Resonant orbits of rotating black holes beyond circularity: Discontinuity along parameter shift
• Slowly rotating black holes with exact Killing tensor symmetries
• Can Rotating Black Holes Have Short Hairs?
• The eye of the storm: A regular Kerr black hole