Quartic equations and classification of Riemann tensors in general relativity

DOI10.1007/BF00756865zbMath0733.53049OpenAlexW2024390550MaRDI QIDQ809385

G. C. Joly, Jan E. Åman, Ray A. d'Inverno, Malcolm A. H. MacCallum

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf00756865

zbMATH Keywords

algorithmsPetrov classificationcomputer algebra systemmultiple rootsquartic equations

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) Software, source code, etc. for problems pertaining to relativity and gravitational theory (83-04)

Related Items (2)

Machine-learning the classification of spacetimes ⋮ A new algorithm for the Petrov classification of the Weyl tensor

Uses Software

• REDUCE
• SHEEP

Cites Work

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• A spinor approach to general relativity
• An improved algorithm for quadratic equation classification and Petrov classification
• A review of the geometrical equivalence of metrics in general relativity
• Interacting with SHEEP
• Invariants of General Relativity and the Classification of Spaces
• Exact Three-Variable Solutions of the Field Equations of General Relativity
• Computer-aided classification of the Ricci tensor in general relativity
• On the analysis of the gravitational field by reduction of the Weyl tensor to canonical form: Algebraically general case
• A space-time calculus based on pairs of null directions

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