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I am studying this paper: "Non-singular rotating black hole with a time delay in the center" by T. de Lorenzo et al.

In this paper authors calculate a new metric for a regular, rotating black hole. They find hat the Kretschmann scalar $K$ is indeed nowhere diverging, but that it is discontinuous for $r\rightarrow 0$: approaching the origin from the equator we have $K=\dfrac{24}{L}$, while in other directions we have $K=0$.

What does this discontinuity tell us about the curvature of the metric?

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