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 $F(X, \phi )=X\phi ^{m}$ with a single extra dimension, where $X=\frac{1}{2}\nabla_M\phi\nabla^M\phi $ stands for the standard kinetic term and m = 0, 1, 2 ... 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 Λ4 $\rightarrow$ 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