https://doi.org/10.1140/epjc/s10052-013-2317-x
Regular Article - Theoretical Physics
Induced Matter Theory of gravity from a Weitzenböck 5D vacuum and pre-big bang collapse of the universe
1
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina
2
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
* e-mail: mbellini@mdp.edu.ar
Received:
11
January
2013
Revised:
7
February
2013
Published online:
19
February
2013
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 non-compact 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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013