Global geometry of space-time with the charged shell

preprint2014arXivOpen access

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.

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