Complex relativity and real solutions. II: Classification of complex bivectors and metric classes

DOI10.1007/BF00761905zbMath0564.53039MaRDI QIDQ1058165

M. S. Hickman, Graham S. Hall, Colin B. G. McIntosh

Publication date: 1985

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

complex spacesnull structurevacuum metriccomplex bivectorscomplex relativityKerr-Schild metrics

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of local differential geometry to the sciences (53B50) Exact solutions to problems in general relativity and gravitational theory (83C15)

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Cites Work

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• Complex relativity and real solutions. I: Introduction
• Null strings and Bianchi identities
• All algebraically degenerate ℋ spaces, via ℋℋ spaces
• Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces
• Type D Vacuum Metrics