Quotient Equations and Integrals of Motion for Massive Spinor Field

TL;DR

This paper explores the symmetry-based dimensional reduction of equations for massive spinor fields, deriving formulas for energy-momentum tensor components from field variables.

Contribution

It introduces a group-theoretical approach to dimensional reduction and provides a geometric description for massive spinor fields in anisotropic spaces.

Findings

Derived formulas for energy-momentum tensor components.

Presented a symmetry analysis of anisotropic space geometries.

Established a group-theoretical framework for dimensional reduction.

Abstract

In this article a group-theoretical aspect of the method of dimensional reduction is presented. Then, on the base of symmetry analysis of an anisotropic space geometrical description of dimensional reduction of equation for massive spinor field is given. Formula for claculating components of the energy-momentum tensor from the variables of the field factor-equations is derived.