Restricted Class of Colliding Einstein–yang–mills Plane Waves

Abstract

By gauging an Abelian electromagnetic (em) 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 (EYM) plane waves. The solution is isometric to the Wu-Yang charged KerrNewman (KN) black hole and shares much of the properties satisfied by colliding Einstein-Maxwell (EM) plane waves. In the linear polarization limit with unit degenerate charge it reduces to the Bell-Szekeres (BS) solution for colliding em shock waves. * Electronic address: ozay

Colliding plane wave solution in F(R)=R^{N} gravity

“…We find all deviations of the Weyl and Ricci scalars from the Einstein's gravity and compare also the geodesics to the first order. In analogy with the colliding electromagnetic [11] and Yang-Mills [13] shock waves our interaction region here also forms a horizon through which the spacetime can be extended analytically [14]. As the next step we may consider the case of R = R 0 =constant.…”