Kaluza-Klein reduction and Bergmann-Wagoner bi-scalar general action of scalar-tensor gravity

Abstract

We examine the Kaluza-Klein (KK) dimensional reduction from higher-dimensional space-time and the properties of the resultant Bergmann-Wagoner general action of scalar-tensor theories. With the analysis of the perturbations, we also investigate the stability of the anti-de Sitter (AdS) space-time in the $D\in\mathcal{N}$-dimensional Einstein gravity with the negative cosmological constant. Furthermore, we derive the conditions for the dimensional reduction to successfully be executed and present the KK compactification mechanism.

18 pages, no figure, version accepted for publication in International Journal of Geometric Methods in Modern Physics