KS-related f-g couples as exact vacuum solutions of Salam's two-tensor theory

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Abstract
The exact solutions of the vacuum field equations of the two‐tensor theory of gravitation proposed by Salam et al. are determined for the case that the two tensors differ only by the tensor product of a null vector field with itself. It is found that this null vector field must be geodesic with vanishing shear, expansion, and twist, and represents a field of multiple principal null directions for both Weyl tensors. As a consequence, the solutions can be derived from the results of a paper by Kundt.

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