Curvature invariants in type-III spacetimes
نویسنده
چکیده
Results of paper [1] are generalized for vacuum type-III solutions with, in general, a non-vanishing cosmological constant Λ. It is shown that all curvature invariants containing derivatives of Weyl tensor vanish if a type-III spacetime admits a non-expanding and non-twisting null geodesic congruence. A non-vanishing curvature invariant containing first derivatives of Weyl tensor is found in the case of type-III spacetime with expansion or twist. PACS numbers: 0420, 0430
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