Riemann-Cartan Space-times of Gödel Type

Abstract

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

24 pages, LaTeX file

References in corpus (1)

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

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