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

Abstract

e consider both the five-dimensional Myers-Perry and Reissner-Nordstrom black holes (BHs) and black pp -branes in (4+p)(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 DD metric. Since we restrict ourselves to the five-dimensional BHs we obtain exact solutions for colliding 2- and 3-form fields in (p+4)(p+4) -dimensions for p⩾1p⩾1 . By dualizing these forms we can obtain also colliding (p+1)(p+1) - and (p+2)(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.