Specific dynamics for the domain walls in Einstein–Maxwell-dilaton theory

Abstract

We consider Einstein–Maxwell-dilaton Lagrangian, supplemented by double Liouville potentials to enrich the system, and investigate the resulting dynamics. The general solution provides alternative structures induced on the three-dimensional domain wall (DW) moving in the four-dimensional bulk. In particular, the local maximum in the potential suggests a maximum bounce (or onset for a contraction phase) of the three-dimensional Friedmann–Robertson–Walker universe on the DW. Depending on the choice of parameters we plot various cases of physical interest.