Dynamic domain wall in charged dilaton black hole spacetimes

In this paper we study the dynamics of $n-1$ dimensional domain wall universe embedded in a $n$ dimensional charged dilaton black hole bulk with the non-asymptotically flat and non-asymptotically (A)dS characters. We find that domain wall can always cross horizon, for which the dilaton coupling constant $a$ and the ratio of pressure to density $w$ play the role of controlling parameters. Then the consequent domain wall motion outside the black hole generally falls into four situations: all time accelerating expansion, slow expansion with a constant speed, expansion followed by collapsing into horizon, and accelerating collapsing into horizon. However, there exists a small patch of parametric sphere, in which the domain wall expansion first slows down and then accelerates. Our analysis also reveals that the big bang theory applies to the domain wall world scenario, while big bounce will not appear in our paper. Furthermore, we find that when we choose the expansion stage as radiation or matter stage, the resultant coupling strength between dilaton field and Maxwell field depends on the different black hole models.