Constructing stabilized brane world models in five-dimensional Brans-Dicke theory

TL;DR

This paper constructs various five-dimensional brane world models within Brans-Dicke theory, including stabilized configurations with exponential scalar fields, exploring different potentials and frame relationships.

Contribution

It introduces stabilized brane world models in Brans-Dicke theory with specific scalar potentials, extending prior models by achieving stabilization and analyzing frame transformations.

Findings

Identified unstabilized Randall-Sundrum solutions with constant scalar fields.

Developed stabilized models with exponential scalar field solutions.

Explored relationships between non-minimal and minimal coupling frames.

Abstract

We consider brane world models, which can be constructed in the five-dimensional Brans-Dicke theory with bulk scalar field potentials suggested by the supergravity theory. For different choices of the potentials and parameters we get: (i) an unstabilized model with the Randall-Sundrum solution for the metric and constant solution for the scalar field; (ii) models with flat background and tension-full branes; (iii) stabilized brane world models, one of which reproduces the Randall-Sundrum solution for the metric and gives an exponential solution for the scalar field. We also discuss the relationship between solutions in different frames - with non-minimal and minimal coupling of the scalar field.