Noncompactified Kaluza--Klein Gravity

TL;DR

This paper explores noncompactified higher-dimensional gravity theories, focusing on the Space-Time-Matter approach and its applications to cosmological models, revealing new insights into modified gravity theories in arbitrary dimensions.

Contribution

It provides a concise overview of noncompactified higher-dimensional theories and demonstrates their application to FLRW cosmology, introducing modified gravity models derived from these theories.

Findings

Application of modified Brans-Dicke and Sez-Ballester theories to cosmology

Derivation of solutions for FLRW models in arbitrary dimensions

Insights into the structure of noncompactified higher-dimensional 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 S\'{a}ez-Ballester theory are briefly explained. Finally, we apply the latter to the Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) cosmological models in arbitrary dimensions and analyze the corresponding solutions.