Two-flux Colliding Plane Waves In String Theory

The gravitational plane waves is not only the classical solutions to vacuum Einstein equation but also the one to string theory. It is quite interesting to study their collision in the framework of low energy effective action of string theory. In this paper ,We construct the two-flux colliding plane wave solutions in higher dimensional gravity theory with dilaton, and two complementary fluxes. Two kinds of solutions has been obtained: Bell-Szekeres(BS) type and homogeneous type. Furthermore , we analyze carefully the necessary junction conditions: Lichnerowicz junction conditions and the O'Brien-Synge junction conditions. After imposing the junction condition, we find that only Bell-Szekeres(BS) type solution is physically well-defined. Last, we show that the future curvature singularity is always developed for our solutions.