Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-02
JHEP 1010:069,2010
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 13 figures, published version
Scientific paper
10.1007/JHEP10(2010)069
In this paper, we consider a de Sitter thick brane model in a pure geometric Weyl integrable five-dimensional space-time, which is a generalization of Riemann geometry and is invariant under a so-called Weyl rescaling. We find a solution of this model via performing a conformal transformation to map the Weylian structure into a familiar Riemannian one with a conformal metric. The metric perturbations of the model are discussed. For gravitational perturbation, we get the effective modified P$\ddot{\text{o}}$schl-Teller potential in corresponding Schr$\ddot{\text{o}}$dinger equation for Kaluza-Klein (KK) modes of the graviton. There is only one bound state, which is a normalizable massless zero mode and represents a stable 4-dimensional graviton. Furthermore, there exists a mass gap between the massless mode and continuous KK modes. We also find that the model is stable under the scalar perturbation in the metric. The correction to the Newtonian potential on the brane is proportional to $e^{-3 r \beta/2}/r^2$, where $\beta$ is the de Sitter parameter of the brane. This is very different from the correction caused by a volcano-like effective potential.
Liu Yu-Xiao
Yang Ke
Zhong Yafang
No associations
LandOfFree
de Sitter Thick Brane Solution in Weyl Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with de Sitter Thick Brane Solution in Weyl Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and de Sitter Thick Brane Solution in Weyl Geometry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-29244