Type N solutions of the vacuum scalar-tensor field equations

Computer Science

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Scientific paper

All solutions of the vacuum relativistic scalar-tensor field equations Rμυ=-φ,μφ,υ are given in the case where the Weyl tensor is of Petrov-Penrose type N. These eight solutions are listed according to the Petrov-Plebański classification of their trace-free Ricci tensor components and belong to the three classes[T-3S][1-1] (R,N), [3T-S][1-1](R,N) and [4N][2](O,N).

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