Gravitational interaction of plane gravitational waves and matter shells.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

The Weyl, Ricci scalars and the Bianchi identities are explicitly given in terms of distributions. Using the obtained Bianchi identities, the gravitational interaction of colliding shock or impulsive gravitational plane waves or matter shells is studied. It is found that, when two impulsive shells of null dust collide, they necessarily produce a tail. The tail could be a "Coulomb-like" gravitational field, or a matter current, or a mixture of both.

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