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