Two notes about spin in absolute parallelism spaces
type: Item
instance of: scholarly article
title: Two notes about spin in absolute parallelism spaces
zbMATH Open document ID: 0846.53070
DOI: 10.1007/BF00984981
author: M. I. Wanas
author: M. Melek
published in: Astrophysics and Space Science
publication date: 1996-01-10T00:00:00Z
review text: The authors investigate spin phenomenon in curved spaces. They find two results: 1) An affinely connected space, in which one can write the Dirac equation for spin 1/2-particles moving in a gravitational field, in an absolute parallelism space. 2) If the torsion vanishes, the absolute parallelism space is a flat one. Some concluding remarks concern the limiting case of general relativity as spin (or torsion) vanishes.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 831566
zbMATH Keywords: spin 1/2-particles
zbMATH Keywords: absolute parallelism space
zbMATH Keywords: torsion
reviewed by: Heinz Dehnen
MaRDI profile type: Publication
cites work: Spin and torsion in general relativity. I: Foundations. II: Geometry and field equations
cites work: Groups of motions in spaces admitting absolute parallelism
Recommended article: Parallel spinors on flat manifolds
Recommended article: Parallel pure spinors on pseudo-Riemannian manifolds
Recommended article: Parallel pure spinors and holonomy
Recommended article: Parallel spinors and holonomy groups
Recommended article: Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds
Recommended article: On Finslerized absolute parallelism spaces
Recommended article: Parallel spinors on Lorentzian Weyl spaces
Recommended article: Parallel spinors and parallel forms
Recommended article: Parallel spinors on Lorentzian spin\(^{c}\) manifolds
Recommended article: Existence of parallel spinors on nonsimply connected Riemannian manifolds
description: scientific article; zbMATH DE number 831566