Dynamics of domain wall in charged AdS dilaton black hole space-time

For the (n-1)-domain wall universe induced by n-dimensional charged dilaton black hole, observers on the domain wall interpret its movement in the bulk as the expansion or collapsing of universe. By analyzing, we found that in this static AdS space, the cosmologic behavior of domain wall is particularly single. Even more surprising, there is an anomaly that the domain wall has a motion area outside the horizon, which cannot be explained by our classical theory.