Loop quantum black hole

TL;DR

This paper applies loop quantum gravity techniques to Kantowski-Sachs spacetime, modeling black holes, and demonstrates that quantum effects remove the classical singularity, resulting in a regular, extendable spacetime inside the horizon.

Contribution

It extends previous ADM variable analyses by using Ashtekar variables to show quantum regularization of black hole singularities.

Findings

Classical singularity is resolved in quantum theory.

Quantum spacetime is regular and extends beyond the classical singularity.

Dynamics can be extended past the classical singularity point.

Abstract

In this paper we consider the Kantowski-Sachs space-time in Ashtekar variables and the quantization of this space-time starting from the complete loop quantum gravity theory. The Kanthowski-Sachs space-time coincides with the Schwarzschild black hole solution inside the horizon. By studying this model we can obtain information about the black hole singularity and about the dynamics across the point r=0. We studied this space-time in ADM variables in two previous papers where we showed that the classical black hole singularity disappears in quantum theory. In this work we study the same model in Ashtekar variables and we obtain a regular space-time inside the horizon region and that the dynamics can be extend further the classical singularity.