Loop Quantum Dynamics of the Schwarzschild Interior

TL;DR

This paper applies loop quantum gravity techniques to the Schwarzschild black hole interior, resolving the classical singularity and revealing a Nariai universe, with implications for black hole physics and quantum gravity.

Contribution

It introduces an improved loop quantization method for the Schwarzschild interior, demonstrating singularity resolution and a new geometric interpretation of quantum effects.

Findings

Singularity replaced by a Nariai type universe

Quantum modifications resolve classical singularity

Provides a new conformal diagram for quantum-corrected black hole interior

Abstract

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology. The central Schwarzschild singularity is resolved and the implications for the fate of an in-falling test particle in the interior region is discussed. The singularity is replaced by a Nariai type Universe. We discuss the resulting conformal diagram, providing a clear geometrical interpretation of the quantum effects.