Impulsive shells of null dust colliding with gravitational plane waves

Physics

Scientific paper

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Scientific paper

A two-parameter family of solutions of Einstein's equations, corresponding to distribution valued stress-energy tensors with support on a (pair of intersecting) null hypersurface(s), is presented. They describe the collision of infinitely thin shells of null dust colliding with shells of the same kind and/or gravitational plane waves. For a subclass of this new family of solutions, the typical spacelike singularity that develops after the collision and forms the future boundary of the interaction region gives its place to a nonsingular Killing-Cauchy horizon.

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