ON A CLASS OF RIEMANN-CARTAN SPACE-TIMES OF GODEL TYPE

A class of Riemann-Cartan Godel-type space-times is examined bi using the equivalence problem techniques, as formulated by Fonseca-Neto et a l. and embodied in a suite of computer algebra programs called TCLASSI . A coordinate-invariant description of the gravitational field for th is class of space-times is presented. It is also shown that these spac e-times can admit a group G(r). of affine-isometric motions of dimensi ons r = 2, 4, 5. The necessary and sufficient conditions for space-tim e (ST) homogeneity of this class of space-times are derived, extending previous works on Godel-type space-times. The equivalence of space-ti mes in the ST homogeneous subclass is studied, recovering recent resul ts under different premises. The results of the limiting Riemannian ca se are also recovered.