Monopole and electrically charged dust thin shells in general relativity: Classical and quantum comparison of hollow and atomlike configurations

TL;DR

This paper compares classical and quantum properties of monopole and charged dust thin shells in general relativity, analyzing configurations like hollow shells and atomlike structures, and exploring effects such as screening, amplification, and quantum bound states.

Contribution

It provides a comprehensive classical and quantum analysis of monopole and charged dust shells, including new theorems, classification, and exact quantum solutions.

Findings

Classification of shells into black holes and wormholes

Theorems for parameters of turning points

Exact quantum bound state solutions

Abstract

We give a comparative description of monopole and electrically charged spherically symmetric dust thin shells. Herewith we consider two of the most interesting configurations: the hollow shell and shell, surrounding a body with opposite charge. The classification of shells in accordance with the types of black holes and traversable wormholes is constructed. The theorems for the parameters of turning points are proved. Also for atomlike configurations the effects of screening (electrical case) and amplification (monopole case) of the internal mass by shell charge are studied. Finally, one considers the quantum aspects; herewith, exact solutions of wave equations and bound states spectra are found.