Colliding Plane Wave Solutions in String theory Revisited

TL;DR

This paper revisits higher-dimensional colliding plane wave solutions in string theory, constructing new solutions with fluxes and dilaton, and analyzing their physical acceptability and singularity development.

Contribution

It introduces more general metric ansatzes for colliding plane wave solutions in higher-dimensional gravity with fluxes and dilaton, including new Bell-Szekeres and flux-CPW solutions.

Findings

All solutions are physically acceptable after junction conditions.

Solutions develop late-time curvature singularities.

New higher-dimensional colliding wave solutions are constructed.

Abstract

We construct the colliding plane wave solutions in the higher-dimensional gravity theory with fluxes and dilaton, with a more general ansatz on the metric. We consider two classes of solutions to the equations of motions and after imposing the junction conditions we find that they are all physically acceptable. In particular, we manage to obtain the higher-dimensional Bell-Szekeres solutions in the Maxwell-Einstein gravity theory, and the flux-CPW solutions in the eleven-dimensional supergravity theory. All the solutions have been shown to develop the late time curvature singularity.