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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.
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