Curvature tensors and unified field equations on \(SEX_ n\)
type: Item
instance of: scholarly article
title: Curvature tensors and unified field equations on \(SEX_ n\)
zbMATH Open document ID: 0652.53057
DOI: 10.1007/BF00674353
author: Kyung Tae Chung
author: Il Yong Lee
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors begin with a brief review of Einstein's unified field theory as formulated by Hlavaty (in the general n-dimensional case). They then proceed to define a modified theory based on the Einstein-Hlavaty approach which consists of an n-dimensional manifold endowed with a connection satisfying two properties (called the ``Einstein'' and ``semisymmetric'' properties by the authors) and a (in general non- symmetric) metric tensor linked by a certain system of differential equations. The appropriately endowed manifold is, perhaps unfortunately, denoted by the symbols \(SEX_ n\). They then proceed to derive various algebraic and differential (Ricci and Bianchi-type) identities on their manifold and to set up field equations similar to the Einstein-Hlavaty system. The paper is concluded by a demonstration that these field equations actually have a solution. Although the general approach is sometimes confusing and a little old fashioned, perhaps the most confusing thing is that the same round bracket symbol is used for both the symmetrisation and skew- symmetrisation operationsö Also strange was the fact that five of the references contained only the authors' name and the year of publication. The approach throughout is geometrical and the authors indicated little or nothing to suggest an application to physics (except that which is implicitly contained in the original Einstein formulation).
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83E99
zbMATH DE Number: 4064005
zbMATH Keywords: unified field theory
zbMATH Keywords: non-symmetric connection
zbMATH Keywords: Einstein-Hlavaty approach
zbMATH Keywords: field equations
MaRDI profile type: Publication
cites work: On Bose Numbers
cites work: \(n\)-dimensional representations of the unified field tensor \(^*g^{ik}\)
cites work: Some recurrence relations and Einstein's connection in 2-dimensional unified field theory
cites work: Q5796504
cites work: Q3271697
cites work: Q3247879
full work available at URL: https://doi.org/10.1007/bf00674353
OpenAlex ID: W2997327145
description: scientific article; zbMATH DE number 4064005