Classifying geometries in general relativity: III. Classification in practice

DOI10.1088/0264-9381/17/15/304zbMath0958.83018OpenAlexW2055497657MaRDI QIDQ4507968

Denis Pollney, James E. F. Skea, Ray A. d'Inverno

Publication date: 17 April 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/17/15/304

zbMATH Keywords

computer algebra systemsgeneral relativityRiemannian spacetimesCartan-Karlhede methodconformally flat pure radiation metricspseudo-Riemannian spacetimes

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) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Gravitational waves (83C35)

Related Items (10)

THE EQUIVALENCE PROBLEM IN TELEPARALLEL GRAVITY ⋮ Invariant classification and the generalised invariant formalism: Conformally flat pure radiation metrics ⋮ Obtaining a class of type \(O\) pure radiation metrics with a negative cosmological constant, using invariant operators ⋮ Machine-learning the classification of spacetimes ⋮ On local equivalence problem of space-times with two orthogonally transitive commuting Killing fields ⋮ Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism ⋮ Type 0 pure radiation metrics with a cosmological constant ⋮ Totally symmetrized spinors and null rotation invariance ⋮ Spacetimes with continuous linear isotropies. I: Spatial rotations ⋮ The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors

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