Colliding impulsive gravitational waves

Physics

Scientific paper

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62

Gravitational Waves, Plane Waves, Pulsed Radiation, Wave Interaction, Einstein Equations, Field Theory (Physics), Gravitation Theory, Polarization Characteristics, Riemann Manifold

Scientific paper

We formulate the problem of colliding plane gravitational waves with two polarizations as the harmonic mappings of Riemannian manifolds and construct an exact solution of the vacuum Einstein field equations describing the interaction of colliding impulsive gravitational waves which in the limit of collinear polarization reduces to the solution of Khan and Penrose.

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