Colliding wave solutions from five-dimensional black holes and black p-branes

Abstract

We consider both the five-dimensional Myers-Perry and Reissner-Nordstrom black holes (BHs) and black p-branes in (4+p)-dimensions. By employing the isometry with the colliding plane waves (CPWs) we generate Cauchy-Horizon (CH) forming CPW solutions. From the five-dimensional vacuum solution through the Kaluza-Klein reduction the corresponding Einstein-Maxwell-dilaton solution is obtained. This CH forming cross polarized solution with the dilaton turns out to be a rather complicated nontype D metric. Since we restrict ourselves to the five-dimensional BHs we obtain exact solutions for colliding 2- and 3-form fields in (p+4)-dimensions for p⩾1. By dualizing these forms we can obtain also colliding (p+1)- and (p+2)-forms which are important processes in the low energy limit of the string theory. All solutions obtained are CH forming, implying that an analytic extension beyond is possible.