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Post-collision space-times of the Cartesian product form M'xM'', where M' andM'' are two-dimensional manifolds, are known with M' and M'' having constantcurvatures of equal and opposite sign (for the collision of electromagneticshock waves) or of the same sign (for the collision of gravitational shockwaves). We construct here a new explicit post-collision solution of theEinstein-Maxwell vacuum field equations with a cosmological constant for whichM' has constant (nonzero) curvature and M'' has zero curvature.

Collision of Shock Waves in Einstein-Maxwell Theory with a Cosmological Constant: A Special Solution