On Kaluza-Klein relativity
type: Item
instance of: scholarly article
title: On Kaluza-Klein relativity
zbMATH Open document ID: 0591.53066
DOI: 10.1007/BF00768633
author: M. D. Maia
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: Mathematically, the author introduces a new tensor \(b_{ik}\) instead of the spacetime tensor \(g_{ik}\). This tensor is viewed as a metric of a 4-manifold embedded into \(M_{4+n}\) (n\(\geq 10\), for singularities to be included). The Gauss-Codazzi-Ricci equations then yield equations \(R_{ij}-I/2b_{ij}R=t_{ij}(b)\), \(D^ i[D_ i,D_ j]=J_ j(b)\). Physically, these new quantities \(t_{ij}\) and \(J_ j\) are discussed and interpreted as some ''sources''. No theorems are given.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83E15
zbMATH DE Number: 3949256
zbMATH Keywords: cosmology
zbMATH Keywords: Kaluza-Klein theory
MaRDI profile type: Publication
cites work: Stability of gravity with a cosmological constant
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cites work: Combined symmetries in curved space-times
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full work available at URL: https://doi.org/10.1007/bf00768633
OpenAlex ID: W2080460192
description: scientific article; zbMATH DE number 3949256