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Generating solutions of Einstein's field equations by typing mistakes
Authors:Cornelius Hoenselaers  James E F Skea
Institution:(1) Max-Planck-Institut für Physik und Astrophysik, Karl-Schwarzschild-Straße 1, D-4086 Garching b. München, F.R.G.;(2) School of Mathematical Sciences, Queen Mary College, Mile End Road, E1 4NS London, UK
Abstract:A solution to Einstein's field equations is presented that represents a Petrov type II electromagnetic null field with one Killing vector. This solution generalizes a vacuum solution previously discovered by Hoenselaers. The solution was found by the peculiar method of generalizing a member of this class inadvertently discovered by making a typing error when checking the vacuum solution with the computer algebra system SHEEP.
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