Colliding wave solutions in 2+1-dimensions

Abstract

We identified a new metric that describes both colliding electromagnetic shock waves and scalar waves without cosmological constant in 2 + 1-dimensions. To the future of collision point our metric has spacelike singularity so that the electromagnetic solution differs from its 3 + 1-dimensional counterpart. Our interaction region with scalar waves is related through the Kaluza-Klein argument with the 3 + 1-dimensional Schwarzschild spacetime.