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

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

Published:2015-10-25 Issue:10 Volume:12 Page:1550106
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Bamba Kazuharu¹²³,Momeni Davood⁴,Myrzakulov Ratbay⁴

Affiliation:

1. Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan

2. Leading Graduate School Promotion Center, Ochanomizu University, Tokyo 112-8610, Japan

3. Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo 112-8610, Japan

4. Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan

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 ∈ 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815501066

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