Dynamical cobordism of a domain wall and its companion defect 7-brane

Starting from an already known solution in the literature, we study dynamical cobordism induced by backreaction of a non-supersymmetric, positive tension domain wall string theory. This could e.g. be non-BPS D8-brane type I or $\overline{D8}/O8$ stack non-supersymmetric IIA orientifold. The singularities which typically appear indicate either inherent inconsistency this background required presence suitable defect, as predicted conjecture. We provide evidence that end-of-the-world $7$-brane is explicitly described new kind non-isotropic dilaton-gravity equations motion. Intriguingly, on formal level turns out to closely related initial for wall.