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Riemann-Cartan Space-times of Gödel Type

J. E. Aman·J. B. Fonseca-Neto·M. A. H. MacCallum·M. J. Reboucas
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Abstract

A class of Riemann-Cartan Gödel-type space-times are examined in the light of the equivalence problem techniques. The conditions for local space-time homogeneity are derived, generalizing previous works on Riemannian Gödel-type space-times. The equivalence of Riemann-Cartan Gödel-type space-times of this class is studied. It is shown that they admit a five-dimensional group of affine-isometries and are characterized by three essential parameters $\ell, m^2, ω$: identical triads ($\ell, m^2, ω$) correspond to locally equivalent manifolds. The algebraic types of the irreducible parts of the curvature and torsion tensors are also presented.

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J. E. Aman, J. B. Fonseca-Neto, M. A. H. MacCallum, M. J. Reboucas. 1997-11-20. Riemann-Cartan Space-times of Gödel Type. https://doi.org/10.1088/0264-9381%2F15%2F4%2F026

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