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

Details On a Class of Riemann-Cartan Space-times of Göodel Type On a Class of Riemann-Cartan Space-times of Göodel Type

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998gregr..30.1307f&link_type=abstract

General Relativity and Gravitation, Vol. 30, p. 1307-1317 (1998)

Computer Science

Scientific paper

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=,,. 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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