Gravitational collapse in loop quantum gravity

TL;DR

This paper investigates gravitational collapse within loop quantum gravity, analyzing the interior of Schwarzschild black holes, and derives difference equations that enable a singularity-free evolution beyond classical predictions.

Contribution

It introduces a quantum gravitational model for black hole interiors, deriving difference equations that extend classical solutions beyond singularities.

Findings

Regular evolution beyond classical singularity

Derivation of difference equations for quantum spacetime

Insights into black hole interior structure

Abstract

In this paper we study the gravitational collapse in loop quantum gravity. We consider the space-time region inside the Schwarzschild black hole event horizon and we divide this region in two parts, the first one where the matter (dust matter) is localized and the other (outside) where the metric is Kantowski-Sachs type. We calculate the state solving Hamiltonian constraint and we obtain a set of three difference equations that give a regular and natural evolution beyond the classical singularity point in "r=0" localized.