A nonsingular rotating black hole

TL;DR

This paper introduces a new model of a nonsingular rotating black hole using a probability-inspired mass function, removing singularities and connecting to known solutions like Kerr-Newman and Kerr.

Contribution

It presents a novel nonsingular rotating black hole model based on a probability distribution inspired mass function, extending classical solutions and motivated by quantum considerations.

Findings

The model is asymptotically Kerr-Newman for large r.

It reduces to Kerr black hole when k=0.

The spacetime is nonsingular and can be linked to nonlinear electrodynamics.

Abstract

The spacetime singularities in classical general relativity are inevitable, which are also predicated by the celebrated singularity theorems. However, it is general belief that singularities do not exist in the nature and they are the limitations of the general relativity. In the absence of a well defined quantum gravity, models of regular black holes have been studied. We employ probability distribution inspired mass function $m(r)$ to replace Kerr black hole mass $M$ to present a nonsingular rotating black hole that is identified asymptotically ($r \gg k$, $k>0$ constant) exactly as the Kerr-Newman black hole, and as the Kerr black hole when $k=0$. The radiating counterpart renders a nonsingular generalization of Carmeli's spacetime as well as Vaidya's spacetime, in the appropriate limits. The exponential correction factor changing the geometry of the classic black hole to remove curvature singularity can be also motivated by the quantum arguments. The regular rotating spacetime can also be understood as a black hole of general relativity coupled to nonlinear electrodynamics.