Distinct family of colliding gravitational waves in general relativity

Physics

Scientific paper

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Exact Solutions

Scientific paper

We present a new family of exact solutions for the Einstein equations that describes colliding gravitational shock waves with cross polarization. In the limit of single polarization it reduces to a family that, up to a transformation of its metric functions, is distinct from the well-known Szekeres family. Furthermore, this family of solutions does not belong to the largest family found recently by Ferrari, Iban~ez, and Bruni.

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