Complex relativity and real solutions. III. Real type-N solutions from complex N\(\otimes N\) ones

DOI10.1007/BF00763452zbMath0579.53054OpenAlexW2081209266MaRDI QIDQ1067235

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

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00763452

zbMATH Keywords

Einstein's vacuum field equationsWeyl tensorWeyl spinorscomplex relativitytype-N metrics

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items (4)

Linear superposition of two type-\(N\) nonlinear gravitons ⋮ An example of non-Weyl preserving complex transformation ⋮ Null Killing vectors and geometry of null strings in Einstein spaces ⋮ Anti-Self-dual spacetimes, gravitational instantons and knotted zeros of the Weyl tensor

Cites Work

• Complex relativity and real solutions. II: Classification of complex bivectors and metric classes
• Complex relativity and real solutions. IV: Perturbations of vacuum Kerr- Schild spaces
• Complex relativity and real solutions. I: Introduction
• On extended conformal transformations of spinors and spinor equations
• Null strings and Bianchi identities
• Zero rest-mass fields including gravitation: asymptotic behaviour

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