Topological invariant in Riemann-Cartan manifold and space-time defects
type: Item
instance of: scholarly article
title: Topological invariant in Riemann-Cartan manifold and space-time defects
zbMATH Open document ID: 0977.53072
DOI: 10.1023/A:1026631712652
published in: International Journal of Theoretical Physics
publication date: 2002-01-07T00:00:00Z
review text: The origin of the topological invariant \(\oint_\Sigma \frac{1}{2} T_{\mu\nu} dx^\mu \wedge dx^\nu\) is studied in analogy with the theory of magnetic monopoles, and this invariant is extended to a more general case. In units of the Planck length, the topological invariant is quantized. The quantum numbers are determined by the Hopf indices and Brouwer degrees. The physical consequences of this are that the quantization of length and time are natural and rigorous results of such an approach and are connected with the spacetime defects.
reviewed by: Vladimir Dzhunushaliev
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 1341298
zbMATH Keywords: spin
zbMATH Keywords: torsion
zbMATH Keywords: topological invariant
zbMATH Keywords: spacetime defects
author: Guo-Hong Yang
author: Yishi Duan
author: Yong-Chang Huang
MaRDI profile type: Publication
full work available at URL: a:1026631712652
OpenAlex ID: W1633439294
description: scientific article; zbMATH DE number 1341298