Induced Matter Theory of gravity from a Weitzenb\"ock 5D vacuum and
  pre-big bang collapse of the universe
  We extend the Induced Matter Theory of gravity (IMT) to 5D curved spacetimes
by using the Weitzenb\"ock representation of connections on a 5D curved
spacetime. In this representation the 5D curvature tensor becomes null, so that
we can make a static foliation on the extra noncompact coordinate to induce in
the Weitzenb\"ock representation the Einstein equations. Once we have done it,
we can rewrite the effective 4D Einstein equations in the Levi-Civita
representation. This generalization of IMT opens a huge window of possible
applications for this theory. A pre-big bang collapsing scenario is explored as
an example.
