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, ?) =Xm with a single extra dimension, where X = 1 2 M M 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 ?4→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.