Spinor Walls in Five-Dimensional Warped Spacetime

TL;DR

This paper explores domain wall solutions supported by a nonlinear spinor field in five-dimensional spacetime, analyzing their properties, stability, and potential as spinor field realizations of domain walls.

Contribution

It introduces new spinor field solutions in five dimensions, including soliton configurations and their stability analysis, expanding understanding of spinor-supported domain walls in warped spacetime.

Findings

Identified spinor-supported domain wall configurations with regular scalar curvature.

Demonstrated stability of certain spinor wall solutions under linear perturbations.

Discussed localization of tensor perturbation zero modes on the spinor walls.

Abstract

We study domain wall solutions of a real spinor field coupling with gravitation in five dimensions. We find that the nonlinear spinor field supports a class of soliton configurations which could be viewed as a wall embedded in five dimensions. We begin with an illuminating solution of the spinor field in the absence of gravitation. In a further investigation, we exhibit three sets of solutions of the spinor field with nonconstant curvature bulk spacetimes and three sets of solutions corresponding to three constant curvature bulk spacetimes. We demonstrate that some of these solutions in specific conditions have the energy density distributions of domain walls for the spinor field, where the scalar curvature is regular everywhere. Therefore, the configurations of these walls can be interpreted as spinor walls which are interesting spinor field realizations of domain walls. In order to investigate the stability of these spinor configurations, the linear perturbations are considered. The localization of the zero mode of tensor perturbation is also discussed.