Quantum dynamics of gravitational massive shell

TL;DR

This paper investigates the quantum behavior of a self-gravitating thin shell, showing it can bounce above the horizon and avoid collapse into a singularity, highlighting quantum effects in gravitational systems.

Contribution

It introduces a positive definite quantum Hamiltonian for a self-gravitating shell and demonstrates quantum bouncing behavior preventing singularity formation.

Findings

Quantum shell bounces above the horizon

System does not collapse into singularity

Quantum effects alter classical gravitational collapse

Abstract

The quantum dynamics of a self-gravitating thin matter shell in vacuum has been considered. Quantum Hamiltonian of the system is positive definite. Within chosen set of parameters, the quantum shell bounces above the horizon. Considered quantum system does not collapse to the gravitational singularity of the corresponding classical system.