Noncompactified Kaluza--Klein Gravity

Abstract

We present a brief description of noncompactified higher-dimensional theories from the perspective of general relativity. More concretely, the Space-Time-Matter theory, or Induced Matter theory, and the reduction procedure used to construct the modified Brans-Dicke theory and the modified Sáez-Ballester theory are briefly explained. Finally, we apply the latter to the Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological models in arbitrary dimensions and analyze the corresponding solutions.

arXiv comment23 pages

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• The Noether Symmetry Approach: Foundation and applications. The case of scalar-tensor Gauss-Bonnet gravity
• Probing extra dimensions through cosmological observations of dark energy
• Gravitational Foundations and Exact Solutions in $n$-Dimensional Fractional Cosmology
• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action