General static plane-symmetric solutions of the Einstein-Maxwell equations

Mathematics – Logic

Scientific paper

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Scientific paper

A general form of the metric in a space-time with nonvanishing cosmological constant outside a massive, electrically charged plane of infinite extension is found as a solution of the Einstein-Maxwell field equations. The general solution is new, but it includes several well-known solutions corresponding to special physical cases. Also, the general form of our solution makes it possible easily to identify different metrics corresponding to equivalent space-times. Physical properties of the solution are discussed. The plane-symmetric universe analogous to the spherically symmetric de Sitter universe is found separately, since it is not included in the general solution.

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