Lorentzian framed structures in general relativity
type: Item
instance of: scholarly article
title: Lorentzian framed structures in general relativity
zbMATH Open document ID: 0581.53053
DOI: 10.1007/BF00843751
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: Verff. definieren eine Struktur auf einer Raum-Zeit über einen linearen Operator f (Rang 2), der im jeweiligen Tangentialraum wirkt und der Gleichung \(f^ 3-f=0\) gehorcht. Es wird ein Satz über den Riemann- Tensor bewiesen, mit dessen Hilfe Vakuum-, Einstein- und konform flache Raum-Zeiten mit einer solchen Struktur charakterisiert werden. Als physikalische Beispiele werden das Skalarfeld (Ruhmasse \(=0)\) und das elektromagnetische Feld (nichtsingulär) behandelt.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C99
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 3929902
zbMATH Keywords: conformally flat
zbMATH Keywords: space-times
zbMATH Keywords: Kruskal space-time
zbMATH Keywords: CR submanifold
zbMATH Keywords: f- structure
author: Krishan Lal Duggal
author: Ramesh Sharma
reviewed by: D.Geissler
MaRDI profile type: Publication
cites work: Riemannian-Maxwellian invertible structures in general relativity
cites work: Hermitian and Kählerian geometry in relativity
cites work: Q5328319
cites work: The Large Scale Structure of Space-Time
cites work: Q3896182
cites work: Q3889412
cites work: CR submanifolds of Kaehlerian and Sasakian manifolds
full work available at URL: https://doi.org/10.1007/bf00843751
OpenAlex ID: W2061057536
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description: scientific article; zbMATH DE number 3929902