Induced gravity with a nonminimally coupled scalar field on the brane

M. Bouhmasi Lopez, David Wands

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Abstract

We present the four-dimensional equations on a brane with a scalar field nonminimally 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
Original languageEnglish
Pages (from-to)024010
Number of pages1
JournalPhysical Review D
Volume71
Issue number2
DOIs
Publication statusPublished - 14 Jan 2005

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