Riemann - Cartan spacetimes of Gödel type

A class of Riemann - Cartan Gödel-type spacetimes are examined in the light of equivalence problem techniques. The conditions for local spacetime homogeneity are derived, generalizing previous works on Riemannian Gödel-type spacetimes. The equivalence of Riemann - Cartan Gödel-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 0264-9381/15/4/026/img7: identical triads 0264-9381/15/4/026/img8 correspond to locally equivalent manifolds. The algebraic types of the irreducible parts of the curvature and torsion tensors are also presented.