On deformations of metrics and their associated spinor structures

TL;DR

This paper studies how smooth changes in a Minkowski-like metric affect associated spinor fields and demonstrates their use in computing the energy-momentum tensor of a massive spin 1/2 particle.

Contribution

It introduces a method to analyze metric deformations and their impact on spinor structures, applying it to particle energy-momentum calculations.

Findings

Deformations of the metric influence spinor fields significantly.

The approach allows explicit calculation of energy-momentum tensors.

Results are relevant for understanding spinor behavior in curved spacetime.

Abstract

Smooth deformations of a Minkowski type metric in a four-dimensional space-time manifold are considered. Deformations of the basic spin-tensorial fields associated with this metric are calculated and their application to calculating the energy-momentum tensor of a massive spin 1/2 particle is shown.