Quantum Gravitational Collapse of a Charged Dust Shell

TL;DR

This paper models the quantum gravitational collapse of a charged dust shell, using a simplified system to explore quantum effects in gravitational collapse and scattering phenomena.

Contribution

It introduces a quantization approach for a charged dust shell and constructs an S-matrix for scattering between infinite radii, advancing understanding of quantum gravitational collapse.

Findings

Quantization of a charged dust shell model

Construction of an S-matrix for scattering processes

Interpretation of the model via positive energy states

Abstract

A simple self gravitating system --- a thin spherical shell of charged pressureless matter --- is naively quantized as a test case of quantum gravitational collapse. The model is interpreted in terms of an inner product on the positive energy states. An S-matrix is constructed describing scattering between negatively and positively infinite radius.