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

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.

18 pages, REVTeX 3.1

References in corpus (6)

• Classical and Quantum Shell Dynamics, and Vacuum Decay
• Reduced phase space formalism for spherically symmetric geometry with a massive dust shell
• Instructive Properties of Quantized Gravitating Dust Shell
• Gauge Invariant Hamiltonian Formalism for Spherically Symmetric Gravitating Shells
• Square-root quantization: application to quantum black holes
• Effective dynamics of self-gravitating extended objects

Cited by in corpus (9)

• WKB metastable quantum states of a de Sitter--Reissner-Nordstroem dust shell
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Unitary Black hole radiation: Schwarzschild-global monopole background
• Modelling the dynamics of global monopoles
• Extended particle models based on hollow singular hypersurfaces in general relativity: Classical and quantum aspects of charged textures
• Self-gravitating stellar collapse: explicit geodesics and path integration
• Radiation fluid singular hypersurfaces with de Sitter interior as models of charged extended particles in general relativity
• Evolution of thin-wall configurations of texture matter
• Vacuum polarization in the Schwarzschild black hole with a global monopole