Scalar-Kinetic Branes

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 $F(X,\varphi )=X{\varphi }^m$ with a single extra dimension, where $X=\frac{1}{2}{\mathrm{\nabla }}_M\varphi {\mathrm{\nabla }}^M\varphi$ 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 ${\mathrm{\Lambda }}_4\to 0$. 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.