An Ehlers transformation on the Ernst potential for the Nutku–Halil solution [Phys. Rev. Lett. 39, 1379 (1977)] provides a new solution of the Einstein field equations describing colliding gravitational plane waves with noncollinear polarization, the first of an infinite sequence of solutions that can be generated using techniques described in this paper.
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Ernst et al. (1987) studied this question.
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