Gravitational waves in general relativity. XIII - Caustic property of plane waves

Physics

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Caustic Lines, Gravitational Waves, Particle Acceleration, Plane Waves, Relativity, Hyperplanes, Particle Collisions, Polarized Radiation

Scientific paper

The effect of a plane gravitational wave of limited duration (sandwich wave) on an infinite set of test particles at relative rest is studied. It is shown that, at least for waves of fixed polarization, all the particles strung out in a certain direction will collide after a finite time that is independent of the distance originally between them. In effect, all plane sandwich waves with fixed polarization are caustic.

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