2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176211We derive the effective cosmological equations for a non-$\mathbb{Z}_2$ symmetric codimension one brane embedded in an arbitrary D-dimensional bulk spacetime, generalizing the $D=5,6$ cases much studied previously. As a particular case, this may be considered as a regularized codimension (D-4) brane avoiding the problem of curvature divergence on the brane. We apply our results to the case of spherical symmetry around the brane and to partly compactified AdS-Schwarzschild bulks.23 pagesGeneral Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - Theorytext