Regular black holes with sub-Planckian curvature

We construct a sort of regular black holes with a sub-Planckian Kretschmann scalar curvature. The metric of this sort of regular black holes is characterized by an exponentially suppressing gravity potential as well as an asymptotically Minkowski core. In particular, with different choices of the potential form, they can reproduce the metric of Bardeen/Hayward/Frolov black hole at large scales. The heuristical derivation of this sort of black holes is performed based on the generalized uncertainty principle over curved spacetime which includes the effects of tidal force on any object with finite size which is bounded below by the minimal length.

Automated summary

We have constructed a type of regular black holes that have a sub-Planckian Kretschmann scalar curvature. The metric of these regular black holes is characterized by an exponentially suppressing gravity potential, and an asymptotically Minkowski core. Moreover, by choosing different forms of the potential, they can reproduce the metric of the Bardeen/Hayward/Frolov black hole at large scales.