Recurrent Riemann-Cartan spacetimes
type: Item
instance of: scholarly article
title: Recurrent Riemann-Cartan spacetimes
zbMATH Open document ID: 0704.53067
DOI: 10.1007/BF00671329
author: L. C. Garcia de Andrade
published in: International Journal of Theoretical Physics
publication date: 1990-01-01T00:00:00Z
review text: A Riemann-Cartan spacetime is a Lorentz-signature manifold with torsion, here assumed to be the gradient of a scalar field (``scalar torsion''). In this paper, an example of such a space-time is studied in which the curvature tensor is recurrent, covariant derivative proportional to itself. The resulting Ricci tensor is proportional to the metric, so that the space is Einstein.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 4155398
zbMATH Keywords: Petrov classification
zbMATH Keywords: recurrent curvature
zbMATH Keywords: Riemann-Cartan spacetime
zbMATH Keywords: scalar torsion
reviewed by: Carl H. Brans
MaRDI profile type: Publication
cites work: On the compatibility of relativistic wave equations in Riemann–Cartan spaces
cites work: Physical structure of the energy-momentum tensor of a dust of spinning particles
cites work: Recurrence conditions in space-time
cites work: Q3896182
cites work: Q5562586
cites work: On Simply Harmonic Spaces
cites work: Ricci-Calculus
cites work: On the Interpretation of the Einstein-Schrödinger Unified Field Theory
cites work: ON CONFORMALLY FLAT 2-RECURRENT RIEMANNIAN SPACES
cites work: On Ruse's Spaces of Recurrent Curvature
Wikidata QID: Q126128017
full work available at URL: https://doi.org/10.1007/bf00671329
OpenAlex ID: W2061304788
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description: scientific article; zbMATH DE number 4155398