https://doi.org/10.1140/epjc/s10052-015-3804-z
Regular Article - Theoretical Physics
New effective coupled 
modified gravity from 
gravity in five dimensions
Departamento de Matemáticas, Centro Universitario de Ciencias Exactas e ingenierías (CUCEI), Universidad de Guadalajara (UdG), Av. Revolución 1500 S.R., 44430, Guadalajara, Jalisco, Mexico
* e-mail: madriz@mdp.edu.ar
** e-mail: edgar.madriz@red.cucei.udg.mx
Received:
15
April
2015
Accepted:
23
November
2015
Published online:
7
December
2015
Using some ideas of the Wesson induced matter theory, we obtain a new kind of modified gravity theory as an effective four-dimensional (4D) theory derived from gravity in five dimensions (5D). This new theory exhibits a different matter coupling than the one in BBHL theory. We show that the field equations of the Wesson induced matter theory and of some brane-world scenarios can be obtained as maximally symmetric solutions of the same theory. We found criteria for the Dolgov–Kawasaki instabilities for both the and the theories. We demonstrate that under certain conditions imposed on the 5D geometry it is possible to interpret the theory as a modified gravity theory with dynamical coefficients, making this new theory a viable candidate to address the present accelerating cosmic expansion issue. Matter sources in the case appear induced by the 5D geometry without the necessity of the introduction of matter sources in 5D.
© The Author(s), 2015
