Stability of the Schwarzschild Interior in Loop Quantum Gravity

TL;DR

This paper demonstrates that the quantum-corrected Schwarzschild interior in loop quantum gravity is stable against small perturbations, contrasting with the classical Nariai universe which is unstable.

Contribution

It shows the stability of the loop quantum gravity-modified Schwarzschild interior, providing insights into quantum effects on black hole interiors.

Findings

Quantum modifications replace the singularity with a Nariai type universe.

The quantum-corrected interior is stable under small perturbations.

Classical Nariai universe is unstable, unlike the quantum-corrected version.

Abstract

In recent work, the Schwarzschild interior of a black hole was investigated, incorporating quantum gravitational modifications due to loop quantum gravity. The central Schwarzschild singularity was shown to be replaced by a Nariai type universe. In this brief report we show that this interior solution is stable with respect to small perturbations, in contrast to the classical Nariai universe.