A new exact solution for colliding gravitational plane waves.

Physics

Scientific paper

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General Relativity:Gravitational Radiation, Gravitational Radiation:General Relativity

Scientific paper

A new exact solution of the vacuum Einstein equations describing the space-time following the collision of two plane impulsive gravitational waves, each supporting a plane gravitational wave, is obtained. The solution has been extended prior to the instant of collision and the main features of the resulting space-time have been analyzed, using the Newman - Penrose formalism. It is shown that the result of the collision is the development of a singularity of the space-time due to the simultaneous focussing of the two plane waves.

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