Spinor brane

TL;DR

This paper constructs a thick brane model supported by a nonlinear spinor field, exploring solutions with different cosmological constants and showing the existence of regular analytical solutions in various spacetime asymptotics.

Contribution

It introduces a new thick brane model supported by nonlinear spinor fields and analyzes solutions across different cosmological constant scenarios.

Findings

Existence of regular analytical solutions for spinor thick branes.

Solutions asymptotically approach Minkowski or anti-de Sitter spacetimes.

The model covers various values of the cosmological constant.

Abstract

The thick brane model supported by a nonlinear spinor field is constructed. The different cases with the various values of the cosmological constant $\Lambda (< = >) 0$ are investigated. It is shown that regular analytical spinor thick brane solutions with asymptotically Minkowski (at $\Lambda=0$) or anti-de Sitter spacetimes (at $\Lambda<0$) do exist.