Space–time homogeneous models with torsion

A space‐time homogeneous model is one in which the metric and the connection are invariant under a four‐dimensional transitive Lie group. The Einstein‐Cartan theory describes the effect of spin on geometry. The field equations require a stress‐energy tensor and a spin tensor for a perfect fluid, and...

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Bibliographic Details
Published in:Journal of mathematical physics 1979-04, Vol.20 (4), p.744-751
Main Authors: Rosenbaum, Marcos, Ryan, Michael P., Shepley, L. C.
Format: Article
Language:English
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Summary:A space‐time homogeneous model is one in which the metric and the connection are invariant under a four‐dimensional transitive Lie group. The Einstein‐Cartan theory describes the effect of spin on geometry. The field equations require a stress‐energy tensor and a spin tensor for a perfect fluid, and we give the required forms here. The main part of this paper is a presentation of several classes of space‐time homogeneous solutions of the Einstein‐Cartan equations for perfect fluid cosmological models.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.524119