Riemann-Cartan spacetimes of Godel type

A class of Riemann-Cartan Godel-type spacetimes are examined in the light of equivalence problem techniques. The conditions for local spacetime homogeneity are derived, generalizing previous works on Riemannian Godel-type spacetimes. The equivalence of Riemann-Cartan Godel-type spacetimes 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 l, m(2), omega: identical triads (l, m(2), omega) correspond to locally equivalent manifolds. The algebraic types of the irreducible parts of the curvature and torsion tensors are also presented.