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arXiv · 1508.01764

Generating Solutions to the Einstein - Maxwell Equations

I. G. Contopoulos·F. P. Esposito·K. Kleidis·D. B. Papadopoulos·L. Witten
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Abstract

The Einstein-Maxwell (E-M) equations in a curved spacetime that admits at least one Killing vector are derived, from a Lagrangian density adapted to symmetries. In this context, an auxiliary space of potentials is introduced, in which, the set of potentials associated to an original (seed) solution of the E-M equations are transformed to a new set, either by continuous transformations or by discrete transformations. In this article, continuous transformations are considered. Accordingly, originating from the so-called $\gamma_A$-metric, other exact solutions to the E-M equations are recovered and discussed.

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I. G. Contopoulos, F. P. Esposito, K. Kleidis, D. B. Papadopoulos, L. Witten. 2015-08-07. Generating Solutions to the Einstein - Maxwell Equations. https://doi.org/10.1142/s0218271815501011

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