Brane Cosmology with a Non-Minimally Coupled Bulk-Scalar Field

TL;DR

This paper explores how a non-minimally coupled bulk scalar field influences the cosmological evolution of a brane, deriving generalized equations and identifying late-time accelerated expansion solutions.

Contribution

It introduces a generalized Friedmann equation for brane cosmology with a non-minimally coupled scalar field and finds late-time accelerating solutions for specific coupling parameters.

Findings

Derived generalized Friedmann equation with non-minimal coupling

Identified late-time accelerated expansion solutions

Showed dependence on non-minimal coupling parameter

Abstract

We consider the cosmological evolution of a brane in the presence of a bulk scalar field coupled to the Ricci scalar through a term f(\phi)R. We derive the generalized Friedmann equation on the brane in the presence of arbitrary brane and bulk-matter, as well as the scalar field equation, allowing for a general scalar potential V(phi). We focus on a quadratic form of the above non-minimal coupling and obtain a class of late-time solutions for the scale factor and the scalar field on the brane that exhibit accelerated expansion for a range of the non-minimal coupling parameter.