D-dimensional Randall-Sundrum models from Brans-Dicke theory and Kaluza-Klein modes

TL;DR

This paper explores how Brans-Dicke theory modifies Randall-Sundrum models, affecting the spectrum of scalar and vector Kaluza-Klein modes, with the Brans-Dicke parameter acting as a fine-tuning factor.

Contribution

It introduces a deformed Randall-Sundrum model derived from Brans-Dicke theory and analyzes the impact of the Brans-Dicke parameter on Kaluza-Klein mode spectra.

Findings

The Brans-Dicke parameter $$ significantly influences the Kaluza-Klein spectra.

The deformation depends non-trivially on the Brans-Dicke parameter.

The parameter $$ can be interpreted as a fine-tuning parameter.

Abstract

We investigate the spectroscopy of scalar and vector Kaluza-Klein modes that arise in a deformed Randall-Sundrum model that is constructed from Brans-Dicke theory. The non-minimal coupling in the Brans Dicke theory translates into a deformation of the Randall-Sundrum geometry that depends on the Brans-Dicke parameter $\omega$. We find that the $\omega$ parameter has a non-trivial effect in the spectroscopy of scalar and vector Kaluza-Klein modes. Our results suggest the interpretation of $\omega$ as a fine-tuning parameter.