S Bonanos 2003 Class. Quantum Grav. 20 5309 doi:10.1088/0264-9381/20/24/005
S Bonanos
Show affiliationsThe 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.
04.20.Cv Fundamental problems and general formalism
04.20.Fy Canonical formalism, Lagrangians, and variational principles
04.20.Gz Spacetime topology, causal structure, spinor structure
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 24 (21 December 2003)
Received 28 July 2003
Published 30 October 2003
S Bonanos 2003 Class. Quantum Grav. 20 5309
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