Nonsingular Black Hole

TL;DR

This paper proposes a model of a nonsingular black hole where the singularity is replaced by a limiting curvature, resulting in a geodesically complete spacetime with a nested, cyclic internal structure.

Contribution

It introduces a theory with limiting curvature that removes the singularity inside Schwarzschild black holes, creating a cyclic, nonsingular internal structure.

Findings

Black hole singularity is replaced by limiting curvature.

The internal structure is cyclic with decreasing black hole radii.

Observers can pass through the core without encountering singularities.

Abstract

We consider the Schwarzschild black hole and show how, in a theory with limiting curvature, the physical singularity "inside it" is removed. The resulting spacetime is geodesically complete. The internal structure of this nonsingular black hole is analogus to Russian nesting dolls. Namely, after falling into the black hole of radius $r_{g}$, an observer, instead of being destroyed at the singularity, gets for a short time into the region with limiting curvature. After that he re-emerges in the near horizon region of a spacetime described by the Schwarzschild metric of a gravitational radius proportional to $r_{g}^{1/3}$. In the next cycle, after passing the limiting curvature, the observer finds himself within a black hole of even smaller radius proportional to $r_{g}^{1/9}$, and so on. Finally after few cycles he will end up in the spacetime where he remains forever at limiting curvature.