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We extend the Induced Matter Theory of gravity (IMT) to 5D curved spacetimesby using the Weitzenb\"ock representation of connections on a 5D curvedspacetime. In this representation the 5D curvature tensor becomes null, so thatwe can make a static foliation on the extra noncompact coordinate to induce inthe Weitzenb\"ock representation the Einstein equations. Once we have done it,we can rewrite the effective 4D Einstein equations in the Levi-Civitarepresentation. This generalization of IMT opens a huge window of possibleapplications for this theory. A pre-big bang collapsing scenario is explored asan example.

Induced Matter Theory of gravity from a Weitzenb\"ock 5D vacuum and pre-big bang collapse of the universe