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Generating solutions of Einstein's field equations by typing mistakes

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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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References

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Hoenselaers, C., Skea, J.E.F. Generating solutions of Einstein's field equations by typing mistakes. Gen Relat Gravit 21, 17–20 (1989). https://doi.org/10.1007/BF00756181

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  • DOI: https://doi.org/10.1007/BF00756181

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