Induced gravity with a non-minimally coupled scalar field on the brane
Abstract
We present the four-dimensional equations on a brane with a scalar field non-minimally coupled to the induced Ricci curvature, embedded in a five-dimensional bulk with a cosmological constant. This is a natural extension to a brane-world context of scalar-tensor (Brans-Dicke) gravity. In particular we consider the cosmological evolution of a homogeneous and isotropic (FRW) brane. We identify low-energy and strong-coupling limits in which we recover effectively four-dimensional evolution. We find de Sitter brane solutions with both constant and evolving scalar field. We also consider the special case of a conformally coupled scalar field for which it is possible (when the conformal energy density exactly cancels the effect of the bulk black hole) to recover a conventional four-dimensional Friedmann equation for all energy densities.
Keywords
Cite
@article{arxiv.hep-th/0408061,
title = {Induced gravity with a non-minimally coupled scalar field on the brane},
author = {Mariam Bouhmadi-Lopez and David Wands},
journal= {arXiv preprint arXiv:hep-th/0408061},
year = {2009}
}
Comments
13 pages, latex with revtex