Timelike geodesics in the rotating Hayward regular black hole admit a Carter-like fourth constant of motion, and out-of-plane orbits differ from Kerr mainly at low spin and large length parameter g.
Note on the character of the generic rotating charged regular black holes in general relativity coupled to nonlinear electrodynamics
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abstract
We demonstrate that the generic charged rotating regular black hole solutions of general relativity coupled to non-linear electrodynamics, obtained by using the alternate Newman-Janis algorithm, introduces only small (on level $10^{-2}$) inconsistency in the behaviour of the electrodynamics Lagrangian. This approves application of these analytic and simple solutions as astrophysically relevant, sufficiently precise approximate solutions describing rotating regular black holes.
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Geodesic structure of a rotating regular black hole
Timelike geodesics in the rotating Hayward regular black hole admit a Carter-like fourth constant of motion, and out-of-plane orbits differ from Kerr mainly at low spin and large length parameter g.