Self-gravitating domain walls and the thin-wall limit

We analyze the distributional thin-wall limit of self-gravitating scalar field configurations representing thick domain wall geometries. We show that thick-wall solutions can be generated by appropiate scaling of the thin-wall ones, and obtain an exact solution for a domain wall that interpolates between AdS₄ asymptotic vacua and has a well-defined thin-wall limit. Solutions representing scalar field configurations obtained via the same scaling but that do not have a thin-wall limit are also presented.