Vacuum spacetimes with a spacelike, hypersurface-orthogonal Killing vector: reduced equations in a canonical frame
نویسنده
چکیده
The Newman-Penrose equations for spacetimes having one spacelike Killing vector are reduced – in a geometrically defined “canonical frame” – to a minimal set, and its differential structure is studied. Expressions for the frame vectors in an arbitrary coordinate basis are given, and coordinate-independent choices of the metric functions are suggested which make the components of the Ricci tensor in the direction of the Killing vector vanish. PACS numbers: 04.20Cv, 04.20Jb
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