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Colliding Plane Waves in Einstein-Maxwell Theory

C. Barrabès·G. F Bressange·P. A. Hogan
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Abstract

Recently a simple solution of the vacuum Einstein-Maxwell field equations was given describing a plane electromagnetic shock wave sharing its wave front with a plane gravitational impulse wave. We present here an exact solution of the vacuum Einstein-Maxwell field equations describing the head-on collision of such a wave with a plane gravitational impulse wave. The solution has the Penrose-Khan solution and a solution obtained by Griffiths as separate limiting cases.

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C. Barrabès, G. F Bressange, P. A. Hogan. 1997-10-08. Colliding Plane Waves in Einstein-Maxwell Theory. https://arxiv.org/abs/gr-qc/9710045

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