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Thick $f(R)$-Brane Solutions in Maximally Symmetric Spaces | | Yuan Zhong
; Yu-Xiao Liu
; Ke Yang
; | | Date: |
18 Oct 2010 | | Abstract: | The purpose of this paper is to present an alternative way of finding thick
brane solutions in metric $f(R)$ gravity with a background scalar field. Our
main idea is to constrain the bulk curvature as a constant, so that all the
dynamical equations reduce to second or even first order ones. To prevent our
work from the problem of singularity, we give up the Gaussian normal
coordinates. Instead, a more general metric is applied as our set up. The
studies we have performed show that as an arbitrary symmetric warp factor
$a(y)$ is given, the solution of the background scalar field is determined only
by the value of $df(R)/dR$. Different values of $f(R)$ would lead to various
types of distribution of the energy density. As another new feature, the
kink-like solution of the background scalar field might, but not necessarily
connect two extreme points of the scalar potential. | | Source: | arXiv, 1010.3478 | | Services: | Forum | Review | PDF | Favorites | |
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