Nonsingular Black Hole

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.