Some comparisons of the Weyl conformal tensor and its classification in 4-dimensional Lorentz, neutral or positive definite signatures

DOI10.1142/S0218271817410048zbMath1366.53012OpenAlexW2602203956MaRDI QIDQ5268042

Graham S. Hall

Publication date: 14 June 2017

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218271817410048

zbMATH Keywords

Petrov classificationneutral signatureWeyl tensor classification

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• The classification of the Weyl conformal tensor in 4-dimensional manifolds of neutral signature
• Some remarks on the converse of Weyl's conformal theorem
• Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\)
• Classification of the Weyl curvature spinors of neutral metrics in four dimensions
• The holonomy Lie algebras of neutral metrics in dimension four
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• Higher dimensional bivectors and classification of the Weyl operator
• Bel–Debever criteria for the classification of the Weyl tensor in higher dimensions
• Neutral Einstein metrics in four dimensions

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