Scalar-Kinetic Branes

TL;DR

This paper investigates thick brane solutions in braneworld models with a scalar field featuring a scalar-kinetic term, analyzing their properties, solutions, and graviton localization in various geometric configurations.

Contribution

It introduces new thick brane solutions with scalar-kinetic terms of the form $F(X,\phi)=X\phi^m$, extending standard models and analyzing graviton localization.

Findings

Solutions for bent branes with de Sitter and Anti-de Sitter slices

Standard solutions recovered when $m=0$

Analysis of graviton localization and spectrum

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 $F(X,\phi)=X\phi^m$ with a single extra dimension, where $X=\frac12\nabla_M\phi\nabla^M\phi$ 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 $\Lambda_4\rightarrow 0$. 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.