Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes

TL;DR

This paper investigates how flag-dipole and flagpole spinor fields can generate fluid flow structures in Kerr spacetimes, revealing that flag-dipole spinors are solutions to the equations of motion in this setting.

Contribution

It demonstrates that flag-dipole spinor fields can serve as physical solutions in Kerr spacetimes, expanding their potential applications in theoretical physics.

Findings

Flag-dipole spinors are solutions of the equations of motion in Kerr backgrounds.

First physical solution of flag-dipole spinors outside Dirac equation contexts.

Potential implications for fluid flow modeling in curved spacetimes.

Abstract

Flagpole and flag-dipole spinors are particular classes of spinor fields that has been recently used in different branches of theoretical physics. In this paper, we study the possibility and consequences of these spinor fields to induce an underlying fluid flow structure in the background of Kerr spacetimes. We show that flag-dipole spinor fields are solutions of the equations of motion in this context. To our knowledge, this is the second time that this class of spinor field appears as a physical solution, the first one occurring as a solution of the Dirac equation in ESK gravities.