Plane gravitational waves colliding with shells of null dust

Statistics – Computation

Scientific paper

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Computational Astrophysics, Einstein Equations, Gravitational Waves, Plane Waves, Stress Tensors, Vacuum, Wave Interaction

Scientific paper

Exact models describing the collision of plane gravitational waves with planar shells of null dust are constructed. This is done by considering those members of the Szekeres (1972) family of colliding plane-gravitational-wave solutions which admit distribution valued stress-energy tensors with support on null hypersurfaces. It is shown that this class of solutions contains not only the Dray and 't Hooft (1986) and Babala (1987) models, but also models of the collision between planar shells of null dust and gravitational plane waves of all types (shock, impulsive, and with a smooth wavefront).

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