A geometric determination of the Weyl canonical frame in petrov type-I space-times

Physics

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Scientific paper

Given four distinct real null directions, a unique (up to a choice between three alternatives) null frame is defined geometrically. When the assumption is made that the four given null directions are the principal null directions of a Petrov type-I space-time, it is shown that the geometrically defined frame coincides with the Weyl canonical frame.

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