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 ͑BHs͒ and black p-branes in ͑4+ p͒-dimensions. By employing the isometry with the colliding plane waves ͑CPWs͒ we generate Cauchy-Horizon ͑CH͒ 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 +4͒-dimensions for p ജ 1. By dualizing these forms we can obtain also colliding ͑p +1͒-and ͑p +2͒-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.

Effect of Nut Parameter on the Analytic Extension of the Cauchy Horizon That Develop in Colliding Wave Space–times

“…in which r + and r − with r + > r − > 0, are the outer and inner horizons, respectively. The corresponding CGW solution can easily be found [15]. This is exactly the CGW solution in the higher dimensional EM theory where the non zero component of the em 2-form is given by…”

“…The corresponding CGW solution can easily be found [15]. This is exactly the CGW solution in the higher dimensional EM theory where the non zero component of the em 2-form is given by…”

“…Recently, we have obtained such regular solutions [15] and in this paper, we show how their analytic extension works in analogy with the lower dimensions. We show that the passive role of the higher dimensions does not effect the analytic extension which is already known to be non-unique.…”