RESTRICTED CLASS OF COLLIDING EINSTEIN–YANG–MILLS PLANE WAVES
Abstract
By gauging an Abelian electromagnetic solution through a non-Abelian transformation and in accordance with a theorem proved long time ago, we construct a simple class of colliding Einstein–Yang–Mills plane waves. The solution is isometric to the Wu–Yang charged Kerr–Newman black hole and shares much of the properties satisfied by colliding Einstein–Maxwell plane waves. In the linear polarization limit with unit degenerate charge it reduces to the Bell–Szekeres solution for colliding em shock waves.
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