Non-${\mathbb{Z}}_2$ symmetric braneworlds in scalar tensorial gravity

We obtain, via the Gauss-Codazzi formalism, the expression of the effective Einstein-Brans-Dicke projected equations in a non-${\mathbb{Z}}_2$ symmetric braneworld scenario which presents hybrid compactification. It is shown that the functional form of such equations resembles the one in the Einstein’s case, except by the fact that they bring extra informations in the context of exotic compactifications.