Scalar-Kinetic Branes

Abstract

This work tries to find out thick brane solutions in braneworld scenarios described by a real scalar field in the presence of a scalar-kinetic term $F(X,ϕ)=Xϕ^m$ with a single extra dimension, where $X=\frac12\nabla_Mϕ\nabla^Mϕ$ stands for the standard kinetic term and $m=0,1,2\cdots$. We mainly consider bent branes, namely de Sitter and Anti-de Sitter four-dimensional slices. The solutions of a flat brane are obtained when taking the four-dimensional cosmological constant $Λ_4\rightarrow 0$. When the parameter $m=0$, these solutions turn to those of the standard scenario. The localization and spectrum of graviton on these branes are also analyzed.

10 pages, no figures, accepted by EPL