Quantum shells in a quantum space-time

TL;DR

This paper investigates the quantum behavior of null shells in a loop quantum gravity black hole space-time, revealing how they traverse the classically singular region, which becomes a white hole, with quantum effects causing profile distortions.

Contribution

It introduces an effective dynamics approach to study null shell propagation in quantum black hole space-times, demonstrating unitary evolution through the quantum region.

Findings

Shells pass through the quantum region, emerging as a white hole.

Quantum fluctuations distort shell profiles.

Evolution remains unitary throughout the process.

Abstract

We study the quantum motion of null shells in the quantum space-time of a black hole in loop quantum gravity. We treat the shells as test fields and use an effective dynamics for the propagation equations. The shells propagate through the region where the singularity was present in the classical black hole space-time, but is absent in the quantum space-time, eventually emerging through a white hole to a new asymptotic region of the quantum space-time. The profiles of the shells get distorted due to the quantum fluctuations in the Planckian region that replaces the singularity. The evolution of the shells is unitary throughout the whole process.