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On a Class of Riemann-Cartan Space-times of Gödel Type

J. B. Fonseca-Neto·M. J. Reboucas
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Abstract

A class of Riemann-Cartan Gödel-type space-times is examined by using the equivalence problem techniques, as formulated by Fonseca-Neto et al. and embodied in a suite of computer algebra programs called TCLASSI. A coordinate-invariant description of the gravitational field for this class of space-times is presented. It is also shown that these space-times can admit a group $G_{r}$ of affine-isometric motions of dimensions $r=2, 4, 5$. The necessary and sufficient conditions for space-time (ST) homogeneity of this class of space-times are derived, extending previous works on Gödel-type space-times. The equivalence of space-times in the ST homogeneous subclass is studied, recovering recent results under different premises. The results of the limiting Riemannian case are also recovered.

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BibTeXRIS

J. B. Fonseca-Neto, M. J. Reboucas. 1998-07-15. On a Class of Riemann-Cartan Space-times of Gödel Type. https://doi.org/10.1023/a%3A1018842522782

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