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 no matter the fact that 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.

中文翻译：

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标量场在Kaluza-Klein模型中作为维度量单位的重要性

如今，超维模型之所以在当今最为流行，是因为它们可以合理地解释一些标准的宇宙学问题，例如宇宙学常数和等级问题。在超维模型中，我们可以推断出，四维物质作为额外坐标的几何表现而上升。这样，尽管我们仍然看不到额外的维度，但是我们可以将其与能够在可观察的宇宙中发挥这种物质感应机制的物理量相关联。在这项工作中，我们建议标量场就是那些物理量。无论假定拉格朗日，甚至标量场都包含在超维度量中，此处介绍的模型都是纯几何模型。