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On regular rotating black holes
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Different proposals for regular rotating black hole spacetimes have appeared recently in the literature. However, a rigorous analysis and proof of the regularity of this kind of spacetimes is still lacking. In this note we analyze rotating Kerr-like black hole spacetimes and find the necessary and sufficient conditions for the regularity of all their second order scalar invariants polynomial in the Riemann tensor. We also show that the regularity is linked to a violation of the weak energy conditions around the core of the rotating black hole.
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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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