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Colliding Plane Waves in Einstein–Maxwell Theory
Authors:P. A. Hogan  C. Barrabès  G. F. Bressange
Affiliation:(1) Mathematical Physics Department, University College Dublin, Belfield, Dublin 4, Ireland;(2) Physics Department, UFR Sciences, Université de Tours, 37200, France
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.
Keywords:Einstein–  Maxwell waves
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