  We carefully investigate the modified Einstein's field equation in a four
dimensional (3-brane) arbitrary manifold embedded in a five dimensional
Non-Riemannian bulk spacetime with a noncompact extra dimension. In this
context the Israel-Darmois matching conditions are extended assuming that the
torsion in the bulk is continuous. The discontinuity in the torsion first
derivatives are related to the matter distribution through the field equation.
In addition, we develop a model that describes a flat FLRW model embedded in a
5-dimensional de Sitter or Anti de Sitter, where a 5-dimensional cosmological
constant emerges from the torsion.

General Relativity and Quantum Cosmology