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The Newman-Penrose equations for spacetimes having one spacelike Killingvector are reduced -- in a geometrically defined "canonical frame'' -- to aminimal set, and its differential structure is studied. Expressions for theframe vectors in an arbitrary coordinate basis are given, andcoordinate-independent choices of the metric functions are suggested which makethe components of the Ricci tensor in the direction of the Killing vectorvanish.Comment: 13 pages, no figures, LaTeX, to be published in Class. Quantum  Gravity; v2: added/rephrased content, corrected typos, changed 1 referenc

Vacuum spacetimes with a spacelike, hypersurface-orthogonal Killing vector: reduced equations in a canonical frame