Regular black holes with sub-Planckian curvature

TL;DR

This paper constructs regular black holes with sub-Planckian curvature by modifying the gravity potential, reproducing known black hole metrics and deriving from a generalized uncertainty principle considering tidal effects.

Contribution

It introduces a new class of regular black holes characterized by an exponentially suppressing potential and an asymptotically Minkowski core, derived from a generalized uncertainty principle.

Findings

Black holes with sub-Planckian curvature achieved

Reproduces Bardeen/Hayward/Frolov black hole metrics

Derived from a generalized uncertainty principle considering tidal effects

Abstract

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.