Induced Matter Theory of gravity from a Weitzenböck 5D vacuum and pre-big bang collapse of the universe

Abstract

We extend the Induced Matter Theory of gravity (IMT) to 5D curved spacetimes by using the Weitzenböck 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 Weitzenböck 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.

version accepted in European Physical Journal C (16 pages, no figures)

References in corpus (3)

• Cosmology with torsion: An alternative to cosmic inflation
• Pre-big bang collapsing universe from modern Kaluza-Klein theory of gravity
• Quantum origin of pre-big bang collapse from Induced Matter theory of gravity

Cited by in corpus (1)

• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate