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Home  >  Volume 35

On Higher Order Curvature Invariants of Petrov Type-III BY E.O. Ifidon (Pages 1-4)
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In this paper, space-time curvature invariants are generalized for vacuum type-III solutions with a non-vanishing cosmological constant Λ. It is shown that all curvature invariants containing derivatives of the Weyl tensor vanish if a type-III space-time admits a non-expanding and non-twisting null geodesic congruence. A non-vanishing curvature invariant containing first derivatives of the Weyltensor is found in the case of type-III space-time with expansion or twist.