The Importance of Scalar Fields as Extradimensional Metric Components in Kaluza-Klein Models

Abstract

Extradimensional models are achieving their highest popularity nowadays, among other reasons, because they can plausible explain some standard cosmology issues, such as the cosmological constant and hierarchy problems. In extradimensional models, we can infer that the four-dimensional matter rises as a geometric manifestation of the extra coordinate. In this way, although we still cannot see the extra dimension, we can relate it to physical quantities that are able to exert such a mechanism of matter induction in the observable universe. In this work we propose that scalar fields are those physical quantities. The models here presented are purely geometrical in the sense that no matter lagrangian is assumed and even the scalar fields are contained in the extradimensional metric. The results are capable of describing different observable cosmic features and yield an alternative to ultimately understand the extra dimension and the mechanism in which it is responsible for the creation of matter in the observable universe.

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

“…Similarly, the authors in [114], predict that the extra dimension contracts with the cosmic time. In [115], the hidden extra dimension is related to scalar fields. The work in [116] also represents the size of the extra dimensions in terms of a scalar field.…”