Generation of colliding gravitational-electromagnetic waves by means of a Harrison transformation

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.