Abstract
A maximally symmetric space, i.e., homogeneous and isotropic at every point, possessing totally antisymmetric torsion is dealt with. It is found that maximum symmetry restricts the dimension of the space to three. The three-curvature tensor for the space is obtained and from its form a three-metric is then constructed. The three-space is then allowed to evolve in time so that a four-metric of the formds 2= −dt 2+ (3)g ij dx i dx jis possible. From this an equation of motion is obtained which predicts an initial- and final-state singularity.
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Part of this work was done as a doctoral thesis requirement at Queen Mary College, University of London.
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Bloomer, I. A maximally symmetric space with torsion. Gen Relat Gravit 9, 763–771 (1978). https://doi.org/10.1007/BF00760863
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DOI: https://doi.org/10.1007/BF00760863