Abstract
The authors construct an infinite-dimensional family of solutions to Einstein's field equations representing collisions between plane gravitational waves with variable polarization. The boundary conditions on the null hypersurfaces are studied and presented as a set of algebraic conditions for the constant coefficients of the Legendre functions. The behaviour of the gravitational field near the focusing two-surface is also analysed and some of the issues related to the strong cosmic censorship conjecture are briefly discussed.
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