Global geometry of space-time with the charged shell
arXiv:1404.2726
Abstract
It is elaborated the complete classification of the possible types of the spherically symmetric global geometries for two types of electrically charged shells: (1) The charged shell as a single source of the gravitational field, when internal space-time is flat, and external space-time is the Reissner--Nordström metric; (2) The neutralizing shell with an electric charge opposite to the charge of the internal source with the Reissner--Nordström metric and with the Schwarzschild metric outside the shell.
76 pages, 62 figures