Geodesic
Generation of colliding gravitational-electromagnetic waves by means of a Harrison transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 1, pp. 136-146 
A. Garcia Diaz. Generation of colliding gravitational-electromagnetic waves by means of a Harrison transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 1, pp. 136-146. http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a13/
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     author = {A. Garcia Diaz},
     title = {Generation of~colliding gravitational-electromagnetic waves by~means {of~a~Harrison} transformation},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For cylindrical metrics that admit two-parameter commutative groups of motions with two-dimensional spacelike transitivity surfaces, the conditions for the existence of colliding waves are extended to the case of solutions of the Einstein–Maxwell equations generated by a Harrison transformation. For the example of the six-parameter electrovac generalization $g\tilde S(a,b,c)$ of the vacuum solution $\tilde S(a,b,c)$ we obtain the solution $g\tilde S(a,0,-1)$, which is a field produced by colliding gravitational-electromagnetic waves and generalizes the Ferrari–Ibafiez vacuum metric.

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