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Similarity Solutions of the Einstein-Maxwell equations with 1 Killing Vector

Elliot Fischer
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Abstract

New similarity variables are introduced for the Einstein - Maxwell equations with one Killing vector that reduce the non-linear partial differential equations in three independent variables to ordinary differential equations. These similarity variables are the extensions of those previously found for the Einstein-Maxwell equations with two Killing vectors. The resulting equations are then solved, providing new solutions of the Einstein - Maxwell equations with one Killing Vector.

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Elliot Fischer. 2016-02-28. Similarity Solutions of the Einstein-Maxwell equations with 1 Killing Vector. https://arxiv.org/abs/gr-qc/0501063

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